In an 84-litre mixture, the ratio of alcohol to water is 3:4. If some quantity of water is added to the mixture, then the ratio of alcohol to water becomes 2:5. Find the quantity of water added (in litres).

Correct answer: 42

Solution

Initially, alcohol = 36 L and water = 48 L. After adding water, alcohol stays 36 L and the new ratio becomes 2:5, so water becomes 90 L. Therefore, water added = 90 - 48 = 42 L.

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