A mixture contains 160 litres of milk and water in the ratio 5:3 respectively. If 48 litres of the mixture is taken out and 13 litres of water is added to the remaining mixture, find the difference between the quantities of milk and water in the resulting mixture.

15 litres
24 litres
12 litres
18 litres

Correct answer: 15 litres

Solution

Initially, milk = 100 L and water = 60 L. Removing 48 L in the ratio 5:3 removes 30 L milk and 18 L water, leaving 70 L milk and 42 L water; after adding 13 L water, water becomes 55 L. The difference is $70-55=15$ litres.

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