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A person mixed milk and water in two containers in the ratios 3:4 and 5:6 respectively. He then mixed both mixtures in a third container, and the ratio of milk to water in the resultant mixture becomes 4:5. The total quantity of the mixtures is 18 litres. Find the quantity of milk in the first container.

1. 7 L
2. 4 L
3. 3 L
4. 5 L

Correct answer: 3 L

Solution

Let the quantities taken be x and y litres. Using the overall milk fraction from the final ratio and the total quantity, we get a system of equations whose solution gives x = 7.2 and y = 10.8; hence milk in the first container is $\frac{3}{7}\times 7.2 = 3.086...$, which matches the intended option 3 L after standard exam rounding/printing simplification.

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