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Two containers of equal capacity are filled with mixtures of juice and water. The first contains them in the ratio 4:1, and the second in the ratio 1:4. The mixtures are then combined. What is the ratio of juice to water in the resulting mixture?

1. 1:1
2. 2:3
3. 5:2
4. 4:1

Correct answer: 1:1

Solution

Each container has the same volume, so we can directly combine the ratios by parts. The first mixture contributes 4 parts juice and 1 part water, while the second contributes 1 part juice and 4 parts water. Together, juice = 5 parts and water = 5 parts, so the ratio is 1:1.

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