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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 Qwen_Qwen2.5-1.5B-Instruct 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 solve this problem, we need to follow these steps: 1. Determine the number of boys at the school. 2. Calculate the total number of students. 3. Use the given ratio to find the number of teachers. Step 1: Determine the number of boys. Since there are twice as many boys as girls, and there are 60 girls, the number of boys is: \[ 2 \times 60 = 120 \] Step 2: Calculate the total number of students. The total number of students is the sum of the number of boys and girls: \[ 120 + 60 = 180 \] Step 3: Use the given ratio to find the number of teachers. We know that there are 5 students for every teacher. Therefore, the number of teachers can be calculated by dividing the total number of students by 5: \[ \frac{180}{5} = 36 \] So, the number of teachers is 36. The final answer is: \boxed{36}
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