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78 Qwen_Qwen2.5-1.5B-Instruct gsm8k_main(0) 77 Question: If Raymond does half as much laundry as Sarah, and Sarah does 4 times as much laundry as David, calculate the difference in the amount of laundry Raymond and David do if Sarah does 400 pounds of laundry. Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: If Raymond does half as much laundry as Sarah, and Sarah does 4 times as much laundry as David, calculate the difference in the amount of laundry Raymond and David do if Sarah does 400 pounds of laundry. Answer:<|im_end|> <|im_start|>assistant 100 1 [100] [stop:-] To solve this problem, we need to determine the amount of laundry each person does and then find the difference between Raymond's and David's laundry loads. 1. **Determine the amount of laundry Sarah does:** Sarah does 400 pounds of laundry. 2. **Determine the amount of laundry David does:** Since Sarah does 4 times as much laundry as David, we can calculate David's laundry load as follows: \[ \text{David's laundry} = \frac{\text{Sarah's laundry}}{4} = \frac{400 \text{ pounds}}{4} = 100 \text{ pounds} \] 3. **Determine the amount of laundry Raymond does:** Raymond does half as much laundry as Sarah, so: \[ \text{Raymond's laundry} = \frac{\text{Sarah's laundry}}{2} = \frac{400 \text{ pounds}}{2} = 200 \text{ pounds} \] 4. **Calculate the difference in the amount of laundry between Raymond and David:** \[ \text{Difference} = \text{Raymond's laundry} - \text{David's laundry} = 200 \text{ pounds} - 100 \text{ pounds} = 100 \text{ pounds} \] Therefore, the difference in the amount of laundry that Raymond and David do is \(\boxed{100}\) pounds.
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