results: 48

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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 grpo-gsm8k-train-13ep-success_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 0 [260] [stop:-] To determine how much John spent on ties, we need to follow these steps: 1. Calculate the cost of the blue ties. 2. Determine the number of red ties John bought. 3. Calculate the cost of the red ties. 4. Sum the costs of the blue and red ties to find the total amount spent. **Step 1: Calculate the cost of the blue ties.** John spent $200 on blue ties that cost $40 each. The number of blue ties he bought is: \[ \text{Number of blue ties} = \frac{200}{40} = 5 \] **Step 2: Determine the number of red ties John bought.** John buys twice as many red ties as blue ties. Therefore, the number of red ties is: \[ \text{Number of red ties} = 2 \times 5 = 10 \] **Step 3: Calculate the cost of the red ties.** The red ties cost 50% more than the blue ties. Since the blue ties cost $40 each, the cost of the red ties is: \[ \text{Cost of red ties} = 40 + 0.5 \times 40 = 40 + 20 = 60 \] **Step 4: Sum the costs of the blue and red ties to find the total amount spent.** The total amount spent on ties is the sum of the cost of the blue ties and the cost of the red ties: \[ \text{Total amount spent} = 200 + 60 = 260 \] Thus, the total amount John spent on ties is: \[ \boxed{260} \]