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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
23 Qwen_Qwen2.5-1.5B-Instruct gsm8k_main(0) 22 Question: Billy sells DVDs. He has 8 customers on Tuesday. His first 3 customers buy one DVD each. His next 2 customers buy 2 DVDs each. His last 3 customers don't buy any DVDs. How many DVDs did Billy sell on Tuesday? 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: Billy sells DVDs. He has 8 customers on Tuesday. His first 3 customers buy one DVD each. His next 2 customers buy 2 DVDs each. His last 3 customers don't buy any DVDs. How many DVDs did Billy sell on Tuesday? Answer:<|im_end|> <|im_start|>assistant 7 1 [7] [stop:-] To determine how many DVDs Billy sold on Tuesday, we need to calculate the total number of DVDs sold to each group of customers and then sum these amounts. 1. **First 3 customers:** - Each of the first 3 customers buys 1 DVD. - Total DVDs sold to the first 3 customers: \(3 \times 1 = 3\) DVDs. 2. **Next 2 customers:** - Each of the next 2 customers buys 2 DVDs. - Total DVDs sold to the next 2 customers: \(2 \times 2 = 4\) DVDs. 3. **Last 3 customers:** - Each of the last 3 customers buys 0 DVDs. - Total DVDs sold to the last 3 customers: \(3 \times 0 = 0\) DVDs. Now, we sum the DVDs sold to each group: \[ 3 \text{ (first 3 customers)} + 4 \text{ (next 2 customers)} + 0 \text{ (last 3 customers)} = 7 \text{ DVDs} \] Therefore, the total number of DVDs Billy sold on Tuesday is \(\boxed{7}\).
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