results: 69
This data as json
| id | model_name | task_name | sample_id | prompt_actual | prompt_full | gold_answer | is_correct | extracted_answers | stop_reasons | response_1 |
|---|---|---|---|---|---|---|---|---|---|---|
| 69 | grpo-gsm8k-train-13ep-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 at the school. 2. Determine the number of boys at the school. 3. Calculate the total number of students. 4. Use the given ratio of students to teachers to find the number of teachers. Step 1: Identify the number of girls. The problem states that there are 60 girls at the school. Step 2: Determine the number of boys. The problem also states that there are twice as many boys as girls. Therefore, the number of boys is: \[ 2 \times 60 = 120 \] Step 3: Calculate the total number of students. The total number of students is the sum of the number of boys and the number of girls: \[ 120 + 60 = 180 \] Step 4: Use the given ratio of students to teachers to find the number of teachers. The problem states that there are 5 students for every teacher. Therefore, the number of teachers is: \[ \frac{180}{5} = 36 \] Thus, the number of teachers is \(\boxed{36}\). |