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A vessel contains 120 litres of milk and water in the ratio 17:7. If 40% of the mixture is poured out and then poured into vessel X, which contains 100 litres of a mixture of equal milk and water, find the new ratio of milk and water in vessel X.

1. 32:21
2. 21:16
3. 15:8
4. 25:14

Correct answer: 21:16

Solution

The original 120-litre mixture has milk and water in the ratio 17:7, so milk = 85 L and water = 35 L. Forty percent of the mixture is 48 L, containing 34 L milk and 14 L water; adding this to 100 L of equal mixture (50 L milk, 50 L water) gives milk = 84 L and water = 64 L, so the ratio is 21:16.

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