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A container contains 90 litres of milk and 18 litres of water. If X litres of the mixture are taken out and 6 litres of water are added, the new ratio of milk to water becomes 5:2. Find the value of X.

1. 36
2. 24
3. 72
4. 90

Correct answer: 72

Solution

Initially, the mixture ratio is 90:18 = 5:1. If X litres are removed, milk removed = 5X/6 and water removed = X/6. After adding 6 litres of water, the final ratio becomes 5:2, which gives X = 72.

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