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The ratio of milk and water in mixture A is 9:5. The quantity of milk in mixture B is 20% more than that in mixture A, and the quantity of water in mixture A is 25% more than that in mixture B. If the sum of the quantities of water in both mixtures is 54 litres, then find the total quantity of mixture A.

1. 72 litres
2. 64 litres
3. 84 litres
4. 75 litres

Correct answer: 84 litres

Solution

Let milk in A be 9x and water in A be 5x. Then milk in B = 20% more than milk in A = 10.8x. Also, water in A is 25% more than water in B, so water in B = 5x/1.25 = 4x. Given 5x + 4x = 54, we get x = 6. Hence total mixture A = 9x + 5x = 14x = 84 litres.

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