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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
15 Qwen_Qwen2.5-1.5B-Instruct gsm8k_main(0) 14 Question: In a dance class of 20 students, 20% enrolled in contemporary dance, 25% of the remaining enrolled in jazz dance, and the rest enrolled in hip-hop dance. What percentage of the entire students enrolled in hip-hop dance? 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: In a dance class of 20 students, 20% enrolled in contemporary dance, 25% of the remaining enrolled in jazz dance, and the rest enrolled in hip-hop dance. What percentage of the entire students enrolled in hip-hop dance? Answer:<|im_end|> <|im_start|>assistant 60 1 [60] [stop:-] To determine the percentage of students enrolled in hip-hop dance, we need to follow these steps: 1. Calculate the number of students enrolled in contemporary dance. 2. Determine the number of students remaining after those enrolled in contemporary dance. 3. Calculate the number of students enrolled in jazz dance from the remaining students. 4. Find the number of students enrolled in hip-hop dance. 5. Calculate the percentage of students enrolled in hip-hop dance. Let's start with the first step: 1. The number of students enrolled in contemporary dance is 20% of 20 students. \[ 0.20 \times 20 = 4 \text{ students} \] 2. The number of students remaining after those enrolled in contemporary dance is: \[ 20 - 4 = 16 \text{ students} \] 3. The number of students enrolled in jazz dance is 25% of the remaining 16 students. \[ 0.25 \times 16 = 4 \text{ students} \] 4. The number of students enrolled in hip-hop dance is the remaining students after those enrolled in contemporary and jazz dance. \[ 16 - 4 = 12 \text{ students} \] 5. The percentage of students enrolled in hip-hop dance is: \[ \left( \frac{12}{20} \right) \times 100 = 60\% \] Therefore, the percentage of the entire students enrolled in hip-hop dance is \boxed{60}.
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