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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
34 Qwen_Qwen2.5-1.5B-Instruct gsm8k_main(0) 33 Question: Gretchen has 110 coins. There are 30 more gold coins than silver coins. How many gold coins does Gretchen have? 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: Gretchen has 110 coins. There are 30 more gold coins than silver coins. How many gold coins does Gretchen have? Answer:<|im_end|> <|im_start|>assistant 70 1 [70] [stop:-] To solve this problem, we can set up an equation based on the information given. Let's denote the number of silver coins as \( S \) and the number of gold coins as \( G \). According to the problem, we have two pieces of information: 1. The total number of coins is 110. 2. There are 30 more gold coins than silver coins. From the first piece of information, we can write the equation: \[ S + G = 110 \] From the second piece of information, we can write the equation: \[ G = S + 30 \] Now, we can substitute the second equation into the first equation to solve for \( S \): \[ S + (S + 30) = 110 \] \[ 2S + 30 = 110 \] \[ 2S = 110 - 30 \] \[ 2S = 80 \] \[ S = 40 \] Now that we know there are 40 silver coins, we can find the number of gold coins by substituting \( S \) back into the second equation: \[ G = S + 30 \] \[ G = 40 + 30 \] \[ G = 70 \] So, Gretchen has 70 gold coins. The final answer is \(\boxed{70}\).
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