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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-train-13ep-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 package sizes and then find the difference. First, let's calculate the cost of buying 18 flowers in packages of 3: - Each package of 3 flowers costs $2.50. - To get 18 flowers, Vincent needs \( \frac{18}{3} = 6 \) packages. - Therefore, the total cost is \( 6 \times 2.50 = 15 \) dollars. Next, let's calculate the cost of buying 18 flowers in packages of 2: - Each package of 2 flowers costs $1. - To get 18 flowers, Vincent needs \( \frac{18}{2} = 9 \) packages. - Therefore, the total cost is \( 9 \times 1 = 9 \) dollars. Now, we find the difference in cost between the two options: - The cost of buying 18 flowers in packages of 3 is $15. - The cost of buying 18 flowers in packages of 2 is $9. - The savings is \( 15 - 9 = 6 \) dollars. Thus, Vincent saves \(\boxed{6}\) dollars by buying 18 flowers at the better price.
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