gsm8k-0020

# GSM8K Problem 21

I have 10 liters of orange drink that are two-thirds water and I wish to add it to 15 liters of pineapple drink that is three-fifths water. But as I pour it, I spill one liter of the orange drink. How much water is in the remaining 24 liters?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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First, calculate the amount of water in the orange drink after the spill:
- Initial orange drink: 10 liters
- Water fraction: $\frac{2}{3}$
- Volume spilled: 1 liter
- Remaining orange drink: $10 - 1 = 9$ liters
- Water in remaining orange drink: $9 \times \frac{2}{3} = 6$ liters

Next, calculate the amount of water in the pineapple drink:
- Pineapple drink: 15 liters
- Water fraction: $\frac{3}{5}$
- Water in pineapple drink: $15 \times \frac{3}{5} = 9$ liters

Finally, add the water from both drinks to find the total amount of water in the mixture:
- Total water: $6 \text{ liters} + 9 \text{ liters} = 15 \text{ liters}$

\boxed{15}