problem
string | answer
string | tokenized_prompt
string | responses
list | rewards
list | mean_reward
float64 | sources
list | solution
string | answer_source
string |
|---|---|---|---|---|---|---|---|---|
Maria is a young Brazilian lady who recently converted to Catholicism. She is passionate about social justice and fighting racial discrimination. She decided to organize a charity event at her local church to raise funds for a campaign promoting racial equality.
Maria plans to sell handmade bracelets at the event. She makes each bracelet for $3 using materials she bought with her own savings. She plans to sell each bracelet for $8. Maria's goal is to raise $500 for the campaign.
During the event, Maria sells 40 bracelets. Additionally, she receives a donation of $120 from a generous supporter who believes in her cause.
How much more money does Maria need to reach her fundraising goal of $500?
|
180
|
<|im_start|>user
Maria is a young Brazilian lady who recently converted to Catholicism. She is passionate about social justice and fighting racial discrimination. She decided to organize a charity event at her local church to raise funds for a campaign promoting racial equality.
Maria plans to sell handmade bracelets at the event. She makes each bracelet for $3 using materials she bought with her own savings. She plans to sell each bracelet for $8. Maria's goal is to raise $500 for the campaign.
During the event, Maria sells 40 bracelets. Additionally, she receives a donation of $120 from a generous supporter who believes in her cause.
How much more money does Maria need to reach her fundraising goal of $500?<|im_end|>
<|im_start|>assistant
|
[
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate money raised from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\nSo, she raises **$320** from sales.\n\n### Step 2: Add the donation\nShe receives a donation of **$120**.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\nSo, total money raised so far is **$440**.\n\n### Step 3: Subtract from the goal\nHer goal is **$500**.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n👉 **Answer: $60**.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 of them:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total funds raised so far**\n$$\n\\$320 \\text{ (from bracelets)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. **Goal is $500**\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{\\$60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation**\nShe receives a donation of $120.\n\n$$\n\\$120\n$$\n\n### 3. **Total funds raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Goal is $500**\n\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$120\n$$\n\n### 3. Total money raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Goal:\nMaria's goal is $500.\n\n### 5. How much more is needed?\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the amounts Maria has raised so far:\n\n1. **Revenue from selling bracelets:**\n\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\times 8 = 320 \\text{ dollars}\n$$\n\n2. **Donation from supporter:**\n\n$$\n120 \\text{ dollars}\n$$\n\n3. **Total money raised:**\n\n$$\n320 + 120 = 440 \\text{ dollars}\n$$\n\n4. **Maria's goal is $500.**\n\nSo, the amount still needed is:\n\n$$\n500 - 440 = 60 \\text{ dollars}\n$$\n\n✅ **Answer: Maria needs $60 more to reach her fundraising goal.**",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\text{Total funds raised} = \\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\text{Amount still needed} = \\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**\n\n### 5. **Amount still needed**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **\\$60 more** to reach her fundraising goal.\n\n**Answer: \\$60**.",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. **Goal is $500**\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for **$8** and sells **40** bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of **$120**.\n\n### 3. Total money raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Goal is $500, so how much more is needed?\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n**Maria needs $60 more** to reach her fundraising goal. ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n### 3. Total funds raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Goal:\nMaria's goal is $500.\n\n### 5. Amount still needed:\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**.\n\n### 5. **Amount still needed**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Add the donation\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Subtract from the goal\nHer goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### Final Answer:\nMaria needs **\\$60 more** to reach her fundraising goal.\n\n✅ **Answer: \\$60**.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n---\n\n### 1. **Revenue from selling bracelets:**\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n---\n\n### 2. **Donation received:**\nShe receives a donation of $120.\n\n---\n\n### 3. **Total money raised so far:**\n\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n---\n\n### 4. **Goal is $500, so how much more is needed?**\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{\\$60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n### 1. Money raised from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$120\n$$\n\n### 3. Total money raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Maria's goal:\n$$\n\\$500\n$$\n\n### 5. Amount still needed:\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n---\n\n**1. Revenue from selling bracelets:**\n\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n---\n\n**2. Donation received:**\n\n$$\n\\$120\n$$\n\n---\n\n**3. Total money raised so far:**\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n---\n\n**4. Maria's goal is $500.**\n\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n---\n\n✅ **Answer: Maria needs \\$60 more to reach her fundraising goal.**",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**.\n\n### 5. **How much more is needed?**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\n- Maria sells each bracelet for $8.\n- She sells 40 bracelets.\n\nSo, total revenue from sales:\n$$\n40 \\times 8 = 320 \\text{ dollars}\n$$\n\n### 2. Donation:\n- She receives a donation of $120.\n\n### 3. Total money raised:\n$$\n320 + 120 = 440 \\text{ dollars}\n$$\n\n### 4. Fundraising goal:\n- Maria's goal is $500.\n\n### 5. Amount still needed:\n$$\n500 - 440 = 60 \\text{ dollars}\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Money raised from selling bracelets:\n- Maria sells each bracelet for $8.\n- She sells 40 bracelets.\n\nSo, total from sales:\n$$\n40 \\times 8 = 320 \\text{ dollars}\n$$\n\n### 2. Donation received:\n- She receives $120 from a supporter.\n\n### 3. Total money raised so far:\n$$\n320 + 120 = 440 \\text{ dollars}\n$$\n\n### 4. Goal is $500.\n\nSo, the amount still needed:\n$$\n500 - 440 = 60 \\text{ dollars}\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nHer goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n---\n\n**1. Revenue from selling bracelets:**\n\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n---\n\n**2. Donation received:**\n\nShe receives a donation of $120.\n\n---\n\n**3. Total funds raised so far:**\n\n$$\n\\$320 \\text{ (from bracelets)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n---\n\n**4. Goal is $500.**\n\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n---\n\n✅ **Final Answer: Maria needs \\$60 more to reach her fundraising goal.**",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n---\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for **$8** and sells **40** bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n---\n\n### 2. **Donation received**\nShe receives a donation of **$120**.\n\n---\n\n### 3. **Total money raised so far**\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n---\n\n### 4. **Goal is $500**\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n---\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total funds raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**.\n\n### 5. **Amount still needed**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate money raised from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\nSo, she raises **$320** from sales.\n\n### Step 2: Add the donation\nShe receives a donation of **$120**.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\nSo, total money raised so far is **$440**.\n\n### Step 3: Subtract from the goal\nMaria's goal is **$500**.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Money raised from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation from supporter**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Goal is $500**\n\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. **Goal is $500**\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{\\$60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Add the donation\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Subtract from the goal\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n✔️ **Answer: $60**",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Money raised from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation from supporter:\nShe receives a donation of $120.\n\n### 3. Total money raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Maria's goal is $500.\n\nSo, the amount she still needs is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**\n\n### 5. **Amount still needed**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Add the donation\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Subtract from the goal\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n👉 **Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\text{Total funds raised} = \\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal is $500.\n\nSo, the amount still needed is:\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Money raised from selling bracelets**\n- Maria sells each bracelet for **$8**.\n- She sells **40 bracelets**.\n\nSo, total revenue from sales:\n$$\n40 \\times 8 = 320 \\text{ dollars}\n$$\n\n### 2. **Donation**\n- She receives a donation of **$120**.\n\n### 3. **Total money raised so far**\n$$\n320 + 120 = 440 \\text{ dollars}\n$$\n\n### 4. **Goal**\n- Maria's goal is **$500**.\n\n### 5. **Amount still needed**\n$$\n500 - 440 = 60 \\text{ dollars}\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Donation received\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Compare to fundraising goal\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the amounts Maria has raised so far:\n\n1. **Money from selling bracelets:**\n - Maria sells each bracelet for $8.\n - She sells 40 bracelets.\n - Total from sales = $ 40 \\times 8 = \\$320 $\n\n2. **Donation from a supporter:**\n - $120\n\n3. **Total money raised so far:**\n - $320 + $120 = **\\$440**\n\n4. **Maria’s fundraising goal:**\n - $500\n\n5. **How much more is needed?**\n - $500 - $440 = **\\$60**\n\n### ✅ Final Answer:\n**Maria needs $60 more to reach her fundraising goal.**",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$120\n$$\n\n### 3. Total money raised so far:\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. Maria's goal:\n$$\n\\$500\n$$\n\n### 5. How much more is needed?\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal:\nMaria’s goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n--- \n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for **$8** and sells **40** bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a **$120** donation.\n\n$$\n\\text{Total funds raised} = \\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal:\nHer goal is **$500**.\n\n$$\n\\text{Amount still needed} = \\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the amounts Maria has raised so far:\n\n1. **Revenue from selling bracelets**: \n Maria sells each bracelet for $8 and sells 40 of them. \n So, total from bracelets = \n $ 40 \\times 8 = 320 $ dollars.\n\n2. **Donation from supporter**: \n She receives $120.\n\n3. **Total money raised so far**: \n $ 320 + 120 = 440 $ dollars.\n\n4. **Maria's goal**: $500.\n\n5. **Amount still needed**: \n $ 500 - 440 = 60 $ dollars.\n\n✅ **Answer**: Maria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nHer goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60**",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for **$8** and sells **40** bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of **$120**.\n\n### 3. Total money raised so far:\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. Goal is $500, so the amount still needed:\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n**Maria needs $60 more to reach her fundraising goal.** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total funds raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is:\n\n$$\n\\$500\n$$\n\n### 5. **How much more is needed?**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{\\$60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for **$8** and sells **40** bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation from supporter:\nShe receives a **$120** donation.\n\n### 3. Total money raised so far:\n$$\n\\$320 \\text{ (from bracelets)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. Goal is $500, so the amount still needed:\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. **Revenue from selling bracelets**\nMaria sells each bracelet for $8 and sells 40 bracelets:\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. **Donation received**\nShe receives a donation of:\n\n$$\n\\$120\n$$\n\n### 3. **Total money raised so far**\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 4. **Fundraising goal**\nMaria's goal is **$500**.\n\n### 5. **Amount still needed**\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\n$$\n\\boxed{60}\n$$\n\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Calculate revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Add the donation\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Subtract from the goal\nHer goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n✅ **Answer: $60**.",
"Let's break down the situation step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the amounts Maria has raised so far:\n\n1. **Money from selling bracelets** \nMaria sells each bracelet for $8 and sells 40 bracelets: \n$ 40 \\times 8 = 320 $ dollars\n\n2. **Donation from supporter** \nShe receives $120.\n\n3. **Total money raised so far** \n$ 320 + 120 = 440 $ dollars\n\n4. **Fundraising goal** \nMaria's goal is $500.\n\n5. **How much more is needed?** \n$ 500 - 440 = 60 $ dollars\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation from supporter:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 fundraising goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$120\n$$\n\n### 3. Total money raised so far:\n$$\n\\$320 \\text{ (from sales)} + \\$120 \\text{ (donation)} = \\$440\n$$\n\n### 4. Goal:\nMaria wants to raise **$500**.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n👉 **Answer: $60**.",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### 1. Revenue from selling bracelets:\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### 2. Donation received:\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### 3. Fundraising goal:\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: \\$60** ✅",
"Let's break down the problem step by step to find out how much more money Maria needs to reach her $500 goal.\n\n### Step 1: Revenue from selling bracelets\nMaria sells each bracelet for $8 and sells 40 bracelets.\n\n$$\n40 \\text{ bracelets} \\times \\$8 = \\$320\n$$\n\n### Step 2: Donation received\nShe receives a donation of $120.\n\n$$\n\\$320 + \\$120 = \\$440\n$$\n\n### Step 3: Compare to fundraising goal\nMaria's goal is $500.\n\n$$\n\\$500 - \\$440 = \\$60\n$$\n\n### ✅ Final Answer:\nMaria needs **$60 more** to reach her fundraising goal.\n\n**Answer: $60** ✅"
] |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
Jamie is an avid reader and a big fan of the author Mark Edwards. Last month, Jamie read 3 of Mark Edwards' books. The first book had 320 pages, the second book had 450 pages, and the third book had 280 pages. If Jamie reads an average of 40 pages per day, how many days did it take Jamie to read all three books?
|
27
|
<|im_start|>user
Jamie is an avid reader and a big fan of the author Mark Edwards. Last month, Jamie read 3 of Mark Edwards' books. The first book had 320 pages, the second book had 450 pages, and the third book had 280 pages. If Jamie reads an average of 40 pages per day, how many days did it take Jamie to read all three books?<|im_end|>
<|im_start|>assistant
|
[
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n**Step 1: Find the total number of pages**\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n**Step 2: Divide total pages by pages per day**\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\nSince Jamie can't read a fraction of a day in practical terms, but the question asks **how many days it took**, and assuming they read continuously at that rate, we can report the exact number.\n\n✅ **Answer: 26.25 days**\n\nOr, if the question expects a whole number (e.g., rounded up), it might be interpreted as 27 days. But since the question doesn't specify rounding, and just asks *how many days it took*, the precise value is:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\n✅ Final Answer: **26.25 days**",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books. \n(This means 26 full days and 1/4 of a day, or 6 hours, since 0.25 day = 6 hours.)",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n**Step 1: Find the total number of pages**\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n**Step 2: Divide total pages by pages per day to find number of days**\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\nSince Jamie can't read a fraction of a day in real life, and the question asks **how many days it took**, we interpret this as the actual time taken, which includes partial days.\n\nSo, the answer is:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nOr, if you prefer it as a mixed number:\n\n$$\n\\boxed{26\\frac{1}{4}} \\text{ days}\n$$\n\n✅ Final Answer: **26.25 days**",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books. \n\n(This means 26 full days and 1/4 of a day, or 6 hours, since 0.25 day = 6 hours.) ✅",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books. \n(This means 26 full days and 1/4 of a day, or 6 hours, if we break it down.)",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n**Step 1: Find the total number of pages**\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n**Step 2: Divide total pages by pages per day to find number of days**\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\nSince Jamie can't read a fraction of a day in practical terms, but the question asks **how many days it took**, and assuming Jamie reads continuously at 40 pages per day, we can express the answer as a decimal or a mixed number.\n\nSo, **Jamie read all three books in 26.25 days**.\n\nAlternatively, in days and fractions:\n\n- 26 full days and 0.25 of a day = 26 days and 6 hours (since 0.25 × 24 = 6 hours)\n\nBut since the question just asks **how many days**, we can give the exact value.\n\n---\n\n✅ **Final Answer: $ \\boxed{26.25} $ days**.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n---\n\n**Step 1: Find the total number of pages**\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n**Step 2: Divide total pages by pages per day to find number of days**\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\nSince Jamie can't read a fraction of a day in practical terms, and the question asks **how many days it took**, we interpret this as the total time in days, even if it’s a decimal.\n\nSo, it took Jamie **26.25 days**.\n\n---\n\n✅ **Final Answer: 26.25 days**.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n**Step 1: Find the total number of pages**\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n**Step 2: Divide total pages by pages per day to find number of days**\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\nSince Jamie can't read a fraction of a day in practical terms (but the question asks how many days it took), and assuming they read continuously at a constant rate, we can report the exact value.\n\nSo, it took Jamie **26.25 days** to read all three books.\n\nAlternatively, if the question expects a whole number of days, we might consider rounding, but since the average is given as 40 pages per day and the total is exactly 1050, the precise answer is:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\n✅ Final Answer: **26.25 days**",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books. \n(This is equivalent to 26 days and 6 hours, since 0.25 of a day is 6 hours.)",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so the number of days is:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day to find number of days\n\n$$\n1050 \\div 40 = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books. ✅",
"We are given:\n\n- Book 1: 320 pages \n- Book 2: 450 pages \n- Book 3: 280 pages \n- Jamie reads at an average of **40 pages per day**\n\n### Step 1: Find the total number of pages\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n### Step 2: Divide total pages by pages per day\nJamie reads 40 pages per day, so:\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n### Final Answer:\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books.",
"We are given:\n\n- First book: 320 pages \n- Second book: 450 pages \n- Third book: 280 pages \n- Jamie reads an average of **40 pages per day**\n\n---\n\n### Step 1: Find the total number of pages\n\nAdd the pages of all three books:\n\n$$\n320 + 450 + 280 = 1050 \\text{ pages}\n$$\n\n---\n\n### Step 2: Divide total pages by pages per day\n\n$$\n\\frac{1050}{40} = 26.25 \\text{ days}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{26.25} \\text{ days}\n$$\n\nSo, it took Jamie **26.25 days** to read all three books."
] |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0
|
[
"nvidia/AceReason-Math"
] | null | null |
The owner of a large cleaning company is worried about the rise of small cleaning services that offer flexible scheduling and efficient communication channels. These smaller companies manage to complete 15 cleaning jobs per week. To stay competitive, the owner wants to ensure their company completes 50% more jobs than the smaller companies each week. If the larger company currently completes 20 cleaning jobs per week, how many additional jobs does the larger company need to complete each week to meet their goal?
|
3
|
<|im_start|>user
The owner of a large cleaning company is worried about the rise of small cleaning services that offer flexible scheduling and efficient communication channels. These smaller companies manage to complete 15 cleaning jobs per week. To stay competitive, the owner wants to ensure their company completes 50% more jobs than the smaller companies each week. If the larger company currently completes 20 cleaning jobs per week, how many additional jobs does the larger company need to complete each week to meet their goal?<|im_end|>
<|im_start|>assistant
|
[
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given the following:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Find how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies each week.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, they complete 20 jobs.\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given the following:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between the current number of jobs and the goal.\n\nCurrent jobs: 20 \nGoal: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The **smaller companies** complete **15 cleaning jobs per week**.\n- The **larger company** currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 cleaning jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrent jobs: 20 \nRequired jobs: 22.5 \n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies each week.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n- The larger company currently completes **20 jobs per week**.\n- We are to find how many **additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate the target number of jobs\n\n50% more than 15:\n\n$$\n15 \\times 1.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between target and current jobs\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. \n\n(Note: Since jobs are typically whole numbers, this might suggest the company needs to complete **at least 23 jobs** per week to exceed 50% more than 15, but based on the problem's wording and mathematical expectation, **2.5** is the precise answer.) ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between the target and current number of jobs.\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n$$\n50\\% \\text{ of } 15 = 0.5 \\times 15 = 7.5\n$$\n\n$$\n15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrent jobs: 20 \nRequired jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given the following:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company wants to complete **50% more** jobs than the smaller companies.\n- The larger company **currently** completes **20 jobs per week**.\n- We are to find how many **additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n50% of 15 is:\n\n$$\n0.5 \\times 15 = 7.5\n$$\n\nSo, the goal is:\n\n$$\n15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\n---\n\n### Step 2: Compare with current performance\n\nThe company currently does **20 jobs per week**.\n\nThey need to do **22.5 jobs** to meet the goal.\n\nSo, additional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional cleaning jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The larger company wants to complete **50% more** jobs than the smaller companies.\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, they do 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nNeeded jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they complete 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional cleaning jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nNeeded jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The **smaller companies** complete **15 cleaning jobs per week**.\n- The **larger company** currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Find how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrent jobs: 20 \nNeeded jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they do 20 jobs.\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are told:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the goal is **22.5 jobs per week**.\n\n---\n\n### Step 2: Find the difference between the goal and current performance.\n\nCurrent: 20 jobs \nGoal: 22.5 jobs\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently** completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies each week.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they do 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs than the smaller companies**.\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n### Step 2: Find the difference between the current number of jobs and the required number.\n\nCurrent jobs: 20 \nRequired jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many **additional** jobs are needed.\n\nCurrent jobs: 20 \nRequired jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nRequired jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n50% of 15 = \n$ 0.5 \\times 15 = 7.5 $\n\nSo, 50% more than 15 = \n$ 15 + 7.5 = 22.5 $ jobs per week.\n\n---\n\n### Step 2: Determine how many more jobs the larger company needs\n\nThe larger company currently does **20** jobs per week, and needs to do **22.5**.\n\nAdditional jobs needed = \n$ 22.5 - 20 = 2.5 $\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than the smaller companies' jobs\n\n50% of 15 is:\n\n$$\n0.5 \\times 15 = 7.5\n$$\n\nSo, 50% more than 15 is:\n\n$$\n15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, the larger company completes **20 jobs** per week.\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than the smaller companies' jobs\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants their company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than the smaller companies' jobs\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than the smaller companies' jobs\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they do 20 jobs per week.\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5 \\text{ jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrent jobs: 20 \nRequired jobs: 22.5 \n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Find how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nNeeded jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Find how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, they do 20 jobs per week.\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are told the following:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The larger company wants to complete **50% more jobs than the smaller companies**.\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\nBut the company currently does **20 jobs per week**.\n\n### Step 2: Find the additional jobs needed\n\n$$\n22.5 - 20 = 2.5\n$$\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are told:\n\n- Small cleaning companies complete **15 jobs per week**.\n- The larger company wants to complete **50% more** than that.\n- Currently, the larger company completes **20 jobs per week**.\n- We need to find how many **additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n$$\n50\\% \\text{ of } 15 = 0.5 \\times 15 = 7.5\n$$\n\n$$\n15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Subtract current number of jobs\n\nThe company currently does **20 jobs** per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.\n\n(Note: Since jobs are typically whole numbers, in practice, this might be rounded to 3 jobs, but based on the exact calculation, the answer is **2.5**.) ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently** completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the goal is **22.5 jobs per week**.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given the following:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company wants to complete **50% more** jobs than the smaller companies.\n- The larger company currently completes **20 jobs per week**.\n- We are to find how many **additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n50% of 15 = \n$ 0.5 \\times 15 = 7.5 $\n\nSo, 50% more than 15 = \n$ 15 + 7.5 = 22.5 $ jobs per week\n\nThus, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many more jobs are needed\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\nAdditional jobs needed = \n$ 22.5 - 20 = 2.5 $\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are told:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company wants to complete **50% more** jobs than the smaller companies.\n- Currently, the larger company completes **20 jobs per week**.\n- We are to find **how many additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n50% of 15 = \n$ 0.5 \\times 15 = 7.5 $\n\nSo, 50% more than 15 = \n$ 15 + 7.5 = 22.5 $ jobs per week\n\nThus, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrently, they complete 20 jobs.\n\nAdditional jobs needed = \n$ 22.5 - 20 = 2.5 $\n\n---\n\n### Final Answer:\n$ \\boxed{2.5} $\n\nSo, the larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅\n\n(Note: If the number of jobs must be a whole number in practice, the owner might need to aim for 23 jobs, which would be 23 - 20 = 3 additional jobs. But based on the math as given, the exact answer is **2.5**.)",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The larger company wants to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently** completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they do **20 jobs** per week.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are told:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants their company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nRequired jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n- The larger company currently completes **20 jobs per week**.\n- We are to find how many **additional jobs** the larger company needs to complete each week to meet the goal.\n\n---\n\n### Step 1: Calculate the target number of jobs\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week**.\n\n---\n\n### Step 2: Find the difference between target and current performance\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. \n\n(Note: Since jobs are typically whole numbers, this might suggest the owner should aim for 23 jobs per week, but based on the exact problem statement, 2.5 is mathematically correct.) ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently** completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they complete **20 jobs** per week.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The larger company wants to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many **additional** jobs are needed.\n\nCurrently, they do 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 cleaning jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between the target and current number of jobs\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are told:\n\n- Small cleaning companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they complete 20 jobs. They need to complete 22.5.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nGoal jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between the target and current number of jobs\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs each week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently completes 20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many **additional** jobs are needed.\n\nCurrently, they do 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- The smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The larger company wants to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs.\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find the difference between the current number of jobs and the goal\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal. ✅\n\n(Note: Since jobs are typically whole numbers, this might suggest the company needs to adjust operations to complete at least 23 jobs per week, but based on the math as stated, the answer is 2.5.)",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The larger company wants to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5 \\text{ jobs per week}\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed.\n\nCurrently, they complete 20 jobs per week.\n\n$$\n22.5 - 20 = 2.5 \\text{ additional jobs}\n$$\n\n---\n\n### Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company **currently** completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week**.\n\n---\n\n### Step 2: Find the difference between the target and current number of jobs.\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given the following:\n\n- Small cleaning companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 cleaning jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than the smaller companies' jobs\n\n50% of 15 is:\n\n$$\n0.5 \\times 15 = 7.5\n$$\n\nSo, 50% more than 15 is:\n\n$$\n15 + 7.5 = 22.5\n$$\n\nThus, the larger company needs to complete **22.5 cleaning jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed\n\nCurrent jobs: 20 \nTarget jobs: 22.5\n\nAdditional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs** than the smaller companies.\n\n---\n\n### Step 1: Calculate 50% more than 15 jobs\n\n50% of 15 is:\n\n$$\n0.5 \\times 15 = 7.5\n$$\n\nSo, 50% more than 15 is:\n\n$$\n15 + 7.5 = 22.5\n$$\n\nThus, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Determine how many additional jobs are needed\n\nCurrently, they do 20 jobs per week.\n\nSo, additional jobs needed:\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### Final Answer:\n\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional cleaning jobs per week** to meet their goal.",
"We are given:\n\n- Smaller companies complete **15 cleaning jobs per week**.\n- The larger company currently completes **20 jobs per week**.\n- The owner wants the larger company to complete **50% more jobs than the smaller companies**.\n\n---\n\n### Step 1: Calculate how many jobs the larger company needs to complete to meet the goal.\n\n50% more than 15:\n\n$$\n15 + (0.5 \\times 15) = 15 + 7.5 = 22.5\n$$\n\nSo, the larger company needs to complete **22.5 jobs per week** to meet the goal.\n\n---\n\n### Step 2: Find how many additional jobs are needed.\n\nCurrent jobs: 20 \nNeeded jobs: 22.5\n\n$$\n22.5 - 20 = 2.5\n$$\n\n---\n\n### ✅ Final Answer:\n$$\n\\boxed{2.5}\n$$\n\nThe larger company needs to complete **2.5 additional jobs per week** to meet their goal."
] |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
"\nAll the cells of a \\(100 \\times 100\\) square table are numbered in some order from 1 to 10000.(...TRUNCATED)
|
k = 1
| "<|im_start|>user\n\nAll the cells of a \\(100 \\times 100\\) square table are numbered in some orde(...TRUNCATED)
| ["We are given a $100 \\times 100$ table, with all cells numbered from 1 to 10,000 in **some arbitra(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"nvidia/AceReason-Math"
] | null | null |
"Jamie, a knowledgeable local and vegan enthusiast, loves taking visitors on a tour of the best vega(...TRUNCATED)
|
102
| "<|im_start|>user\nJamie, a knowledgeable local and vegan enthusiast, loves taking visitors on a tou(...TRUNCATED)
| ["Let's break down the total cost of the vegan food tour step by step.\n\n---\n\n**1. Vegan Bakery:*(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
"Alex is a risk management specialist who helps poker players optimize their winnings and minimize t(...TRUNCATED)
|
52.5
| "<|im_start|>user\nAlex is a risk management specialist who helps poker players optimize their winni(...TRUNCATED)
| ["Let's break down Jamie's poker results step by step and then calculate how much Jamie should save (...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
"Sarah runs a popular Bachelor-themed podcast and records an episode every week to discuss the lates(...TRUNCATED)
|
135
| "<|im_start|>user\nSarah runs a popular Bachelor-themed podcast and records an episode every week to(...TRUNCATED)
| ["Let's break down the total time Sarah spends each week on preparing, recording, and editing the po(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
"A retired history teacher who lives in the former Berwick area, now divided into South Berwick and (...TRUNCATED)
|
17
| "<|im_start|>user\nA retired history teacher who lives in the former Berwick area, now divided into (...TRUNCATED)
| ["Let's break down the teacher's travel each day:\n\n---\n\n**Monday:** \nTravels from **South Berw(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
"Dr. Star, an astrophysicist who studies exoplanets, discovered a new exoplanet orbiting a distant s(...TRUNCATED)
|
30
| "<|im_start|>user\nDr. Star, an astrophysicist who studies exoplanets, discovered a new exoplanet or(...TRUNCATED)
| ["We are given:\n\n- The exoplanet takes **365 Earth days** to orbit its star (1 Earth year).\n- The(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"nvidia/AceReason-Math"
] | null | null |
"Anna is a loyal supporter of the political party \"Latvian Farmers' Union and Union of Greens and F(...TRUNCATED)
|
76
| "<|im_start|>user\nAnna is a loyal supporter of the political party \"Latvian Farmers' Union and Uni(...TRUNCATED)
| ["Anna distributed seeds and reusable bags to 12 participants.\n\n### Step 1: Seed packets\n- Anna h(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0
|
[
"POLARIS-Project/Polaris-Dataset-53K",
"nvidia/AceReason-Math"
] | null | null |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 16