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65 dsr-one-example-grpo_global_step_50 gsm8k_main(0) 64 Question: Sophia is thinking of taking a road trip in her car, and would like to know how far she can drive on a single tank of gas. She has traveled 100 miles since last filling her tank, and she needed to put in 4 gallons of gas to fill it up again. The owner's manual for her car says that her tank holds 12 gallons of gas. How many miles can Sophia drive on a single tank of gas? 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: Sophia is thinking of taking a road trip in her car, and would like to know how far she can drive on a single tank of gas. She has traveled 100 miles since last filling her tank, and she needed to put in 4 gallons of gas to fill it up again. The owner's manual for her car says that her tank holds 12 gallons of gas. How many miles can Sophia drive on a single tank of gas? Answer:<|im_end|> <|im_start|>assistant 300 1 [300] [stop:-] To determine how many miles Sophia can drive on a single tank of gas, we need to follow these steps: 1. **Calculate the car's fuel efficiency:** - Sophia has traveled 100 miles on 4 gallons of gas. - To find the miles per gallon (mpg), we use the formula: \[ \text{Miles per gallon} = \frac{\text{Total miles traveled}}{\text{Gallons of gas used}} \] Substituting the given values: \[ \text{Miles per gallon} = \frac{100 \text{ miles}}{4 \text{ gallons}} = 25 \text{ miles per gallon} \] 2. **Determine the total capacity of the tank:** - The owner's manual states that the tank holds 12 gallons of gas. 3. **Calculate the total distance Sophia can drive on a full tank:** - To find the total distance, we multiply the miles per gallon by the total capacity of the tank: \[ \text{Total distance} = \text{Miles per gallon} \times \text{Total capacity of the tank} \] Substituting the values we have: \[ \text{Total distance} = 25 \text{ miles per gallon} \times 12 \text{ gallons} = 300 \text{ miles} \] Therefore, Sophia can drive \(\boxed{300}\) miles on a single tank of gas.
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