Question 62

In a mixture of 100 litres of milk and water, the ratio of milk and water is 3 : 2. If this ratio is to be 1 : 1, how much more water is to be added to the mixture?

Solution

In a mixture of 100 litres of milk and water, the ratio of milk and water is 3 : 2.

Initial quantity of milk = $$100\times\ \frac{3}{5}$$ = 60 litres

Initial quantity of water = $$100\times\ \frac{2}{5}$$ = 40 litres

Let's assume the 'y' litres of water is to be added to the mixture for making the ratio 1:1.

$$\frac{60}{40+y}\ =\ \frac{1}{1}$$

60 = 40+y

y = 60-40

quantity of water added = y = 20 litres

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