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A 50-litre mixture contains juice and water in the ratio 3:2. How much water must be added to this mixture to change the ratio of juice to water to 3:4?

1. 12 litres
2. 15 litres
3. 18 litres
4. 20 litres

Correct answer: 20 litres

Solution

In 50 litres with ratio 3:2, juice = 30 litres and water = 20 litres. If $x$ litres of water are added, then the new ratio becomes $30:(20+x)=3:4$. Solving gives $120=60+3x$, so $x=20$ litres.

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