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68 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 67 Question: A treasure hunter found a buried treasure chest filled with gems. There were 175 diamonds, 35 fewer rubies than diamonds, and twice the number of emeralds than the rubies. How many of the gems were there in the chest? 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: A treasure hunter found a buried treasure chest filled with gems. There were 175 diamonds, 35 fewer rubies than diamonds, and twice the number of emeralds than the rubies. How many of the gems were there in the chest? Answer:<|im_end|> <|im_start|>assistant 595 1 [595] [stop:-] To determine the total number of gems in the treasure chest, we need to calculate the number of each type of gem and then sum them up. 1. **Diamonds**: The number of diamonds is given as 175. \[ \text{Number of diamonds} = 175 \] 2. **Rubies**: The number of rubies is 35 fewer than the number of diamonds. Therefore, we subtract 35 from the number of diamonds. \[ \text{Number of rubies} = 175 - 35 = 140 \] 3. **Emeralds**: The number of emeralds is twice the number of rubies. Therefore, we multiply the number of rubies by 2. \[ \text{Number of emeralds} = 2 \times 140 = 280 \] 4. **Total number of gems**: To find the total number of gems, we sum the number of diamonds, rubies, and emeralds. \[ \text{Total number of gems} = 175 + 140 + 280 = 595 \] Thus, the total number of gems in the chest is \(\boxed{595}\).
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