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A tank contains 120 liters of pure juice. 15 liters are drawn out and replaced by water twice. What is the ratio of juice to water in the final mixture?

1. 49: 15
2. 81: 39
3. 73: 47
4. 65: 55

Correct answer: 49: 15

Solution

Each time 15 liters are removed from 120 liters, the fraction of juice remaining becomes 105/120 = 7/8. After two such operations, juice left = \(120\times(7/8)^2 = 73.125\) liters. Water = 120 - 73.125 = 46.875 liters, giving the ratio 49:15.

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