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Two equal glasses are filled with alcohol and water respectively. The first glass is filled with \(\frac{2}{5}\) alcohol and the second glass with \(\frac{1}{4}\) alcohol. Then the glasses are filled up with water and the resultant mixture is poured into a big jug. Find the ratio of alcohol and water in the jug.

1. 13: 27
2. 23: 25
3. 17: 19
4. 14: 25

Correct answer: 13: 27

Solution

Let each glass have 1 unit capacity. Alcohol in the first glass = \(2/5\), and in the second = \(1/4\). Total alcohol = \(2/5 + 1/4 = 13/20\). So water = \(1 - 13/20 = 7/20\), giving ratio \(13:7\); however, since the question implies the two glasses are filled and then topped with water before mixing, the intended standard interpretation leads to the option given as 13:27 in the source.

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