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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
79 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 78 Question: Vincent can buy flowers in packages of 3 for $2.50 or in packages of 2 for $1. How much money does he save by buying 18 flowers at the better price? 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: Vincent can buy flowers in packages of 3 for $2.50 or in packages of 2 for $1. How much money does he save by buying 18 flowers at the better price? Answer:<|im_end|> <|im_start|>assistant 6 1 [6] [stop:-] To determine how much money Vincent saves by buying 18 flowers at the better price, we need to calculate the cost of buying 18 flowers in both the package of 3 flowers for $2.50 and the package of 2 flowers for $1, and then find the difference between these two costs. First, let's calculate the cost of buying 18 flowers in packages of 3 flowers: - Number of packages of 3 flowers needed: \( \frac{18}{3} = 6 \) - Cost of 6 packages of 3 flowers: \( 6 \times 2.50 = 15 \) dollars Next, let's calculate the cost of buying 18 flowers in packages of 2 flowers: - Number of packages of 2 flowers needed: \( \frac{18}{2} = 9 \) - Cost of 9 packages of 2 flowers: \( 9 \times 1 = 9 \) dollars Now, we find the difference between the two costs to determine how much Vincent saves: - Savings: \( 15 - 9 = 6 \) dollars Therefore, Vincent saves \(\boxed{6}\) dollars by buying 18 flowers at the better price.
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