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An 84-litre mixture has milk and water in the ratio 5:2. If 21 litres of the mixture is removed and 12 litres of pure milk is added, what is the new ratio of milk to water?

1. 13:8
2. 27:14
3. 19:6
4. 21:11

Correct answer: 19:6

Solution

Initially, milk = 60 L and water = 24 L. Removing 21 L of the same mixture removes 15 L milk and 6 L water, leaving 45 L milk and 18 L water. Adding 12 L milk makes it 57 L milk and 18 L water, so the ratio is 19:6.

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