Multiple choice

Two mixtures contain spirit and water in the ratios 3 : 5 and 7 : 4. If 24 litres of the first mixture and 44 litres of the second mixture are mixed with 25 litres of spirit, then what is the ratio of spirit to water in this new mixture?

  1. 2 : 1

  2. 3 : 1

  3. 3 : 2

  4. 5 : 2

  5. 5 : 3
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A Correct answer
Explanation

Mixture 1: 24L (3:5) -> 9L spirit, 15L water. Mixture 2: 44L (7:4) -> 28L spirit, 16L water. Total spirit = 9 + 28 + 25 = 62. Total water = 15 + 16 = 31. Ratio = 62:31 = 2:1.

AI explanation

The 24 litres of the first mixture contains (3/8) times 24, which is 9 litres of spirit and 15 litres of water. The 44 litres of the second mixture contains (7/11) times 44, which is 28 litres of spirit and 16 litres of water. Adding the extra 25 litres of spirit brings the total spirit to 9 plus 28 plus 25, which is 62 litres, while the total water is 15 plus 16, which is 31 litres, making the final ratio 62 to 31, or 2 to 1.

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