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A container c...

Question

A container contains 64 litres of pure milk. One-fourth of the milk is replaced by water. Again the operation is performed, and one-fourth of mixture is replaced by water. Find the final ratio of milk to water in the container.

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Solution

Pure milk in final solution $= 64 \times \frac{3}{4}$ $\times \frac{3}{4}$ $= 36 L$
Water in final solution $= 64 - 36 = 28 L$
Ratio of milk to water is $36 : 28$ = $9 : 7$

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