In a mixture, the ratio of milk to water is 4:1. If 30 litres of water are added, the new ratio becomes 14:11. What is the initial quantity of the mixture?

20 litre
65 litre
70 litre
10 litre

Correct answer: 70 litre

Solution

Let the initial mixture be $x$ litres. Then milk = $\frac{4x}{5}$ and water = $\frac{x}{5}$. After adding 30 litres of water, $\frac{4x/5}{x/5+30}=\frac{14}{11}$, which gives $x=70$.

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