results: 34
This data as json
| id | model_name | task_name | sample_id | prompt_actual | prompt_full | gold_answer | is_correct | extracted_answers | stop_reasons | response_1 |
|---|---|---|---|---|---|---|---|---|---|---|
| 34 | grpo-gsm8k-train-13ep-success_global_step_50 | 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 determine the number of gold coins Gretchen has, we start by defining variables for the quantities of each type of coin. Let \( G \) represent the number of gold coins and \( S \) represent the number of silver coins. According to the problem, we have two key pieces of information: 1. The total number of coins is 110. 2. There are 30 more gold coins than silver coins. We can express these pieces of information as the following equations: \[ G + S = 110 \] \[ G = S + 30 \] Next, we substitute the second equation into the first equation to solve for \( S \): \[ (S + 30) + S = 110 \] \[ 2S + 30 = 110 \] Subtract 30 from both sides of the equation: \[ 2S = 80 \] Divide both sides by 2: \[ S = 40 \] Now that we know the number of silver coins, we can find the number of gold coins by substituting \( S = 40 \) back into the second equation: \[ G = S + 30 \] \[ G = 40 + 30 \] \[ G = 70 \] Thus, the number of gold coins Gretchen has is \(\boxed{70}\). |