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A milk vendor has two cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each container to get 12 litres of mixture such that the ratio of water to milk is 3:5?

1. 4 litres, 8 litres
2. 6 litres, 6 litres
3. 5 litres, 7 litres
4. 7 litres, 5 litres

Correct answer: 6 litres, 6 litres

Solution

The required mixture has water:milk = 3:5, so water fraction = 3/8 = 37.5%. Let x litres be taken from the first can and 12 - x from the second. Solving the water-content equation gives x = 6, so 6 litres from each can.

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