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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
69 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 68 Question: There are twice as many boys as girls at Dr. Wertz's school. If there are 60 girls and 5 students to every teacher, how many teachers are there? 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: There are twice as many boys as girls at Dr. Wertz's school. If there are 60 girls and 5 students to every teacher, how many teachers are there? Answer:<|im_end|> <|im_start|>assistant 36 1 [36] [stop:-] To determine the number of teachers at Dr. Wertz's school, we need to follow these steps: 1. **Identify the number of girls:** There are 60 girls at the school. 2. **Determine the number of boys:** According to the problem, there are twice as many boys as girls. Therefore, the number of boys is: \[ 2 \times 60 = 120 \] 3. **Calculate the total number of students:** The total number of students is the sum of the number of boys and girls: \[ 120 + 60 = 180 \] 4. **Determine the number of teachers:** The problem states that there are 5 students for every teacher. Therefore, the number of teachers is the total number of students divided by 5: \[ \frac{180}{5} = 36 \] Thus, the number of teachers at Dr. Wertz's school is \(\boxed{36}\).
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