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id model_name task_name sample_id prompt_actual prompt_full gold_answer is_correct extracted_answers stop_reasons response_1
48 dsr-one-example-grpo_global_step_50 gsm8k_main(0) 47 Question: John buys twice as many red ties as blue ties. The red ties cost 50% more than blue ties. He spent $200 on blue ties that cost $40 each. How much did he spend on ties? 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: John buys twice as many red ties as blue ties. The red ties cost 50% more than blue ties. He spent $200 on blue ties that cost $40 each. How much did he spend on ties? Answer:<|im_end|> <|im_start|>assistant 800 1 [800] [stop:-] To solve this problem, we need to determine the total amount John spent on both red and blue ties. Let's break it down step by step. 1. **Calculate the cost of blue ties:** John spent $200 on blue ties, and each blue tie costs $40. \[ \text{Number of blue ties} = \frac{\text{Total cost of blue ties}}{\text{Cost per blue tie}} = \frac{200}{40} = 5 \] So, John bought 5 blue ties. 2. **Determine the number of red ties:** John buys twice as many red ties as blue ties. \[ \text{Number of red ties} = 2 \times \text{Number of blue ties} = 2 \times 5 = 10 \] So, John bought 10 red ties. 3. **Calculate the cost of red ties:** The red ties cost 50% more than the blue ties. Since each blue tie costs $40, each red tie costs: \[ \text{Cost per red tie} = 40 + 0.5 \times 40 = 40 + 20 = 60 \] Therefore, the total cost for 10 red ties is: \[ \text{Total cost of red ties} = 10 \times 60 = 600 \] 4. **Calculate the total cost of all ties:** The total cost for both blue and red ties is: \[ \text{Total cost} = \text{Total cost of blue ties} + \text{Total cost of red ties} = 200 + 600 = 800 \] So, the total amount John spent on ties is: \[ \boxed{800} \]