Multiple choice

The ratios of spirit to water in two vessels are 3 : 1 and 5 : 3. In what ratio are these to be mixed to get a new mixture in which the ratio of spirit to water is 2 : 1?

  1. 1 : 2

  2. 1 : 3

  3. 2 : 3

  4. 2 : 5

  5. 4 : 5
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AI explanation

Using the method of alligation on the proportions of spirit in each mixture, the first vessel has a spirit fraction of 3/4 (0.75) and the second has a spirit fraction of 5/8 (0.625). The target mixture has a spirit fraction of 2/3 (approximately 0.667). The required ratio is the difference between 0.667 and 0.625 to the difference between 0.75 and 0.667, resulting in a ratio of 1 : 2.

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