Multiple choice

A flask contains a mixture of alcohol and water in the ratio 5:2. However if 22 litres of water is added to the mixture this given ratio of alcohol and water becomes 7:5. Then find the quantity of alcohol in the solution.

  1. 28 liters

  2. 50 liters

  3. 42 liters

  4. 70 liters

  5. 75 liters
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D Correct answer
Explanation

Initial ratio 5:2 (5x, 2x). Adding 22L water: 5x / (2x + 22) = 7/5. 25x = 14x + 154, 11x = 154, x = 14. Alcohol = 5x = 5 * 14 = 70.

AI explanation

Let the initial quantities of alcohol and water be 5x and 2x. After adding 22 liters of water, the new ratio becomes 5x / (2x + 22) = 7 / 5, leading to 25x = 14x + 154. Solving this gives 11x = 154, so x equals 14. The initial quantity of alcohol is 5 * 14, which is 70 liters.

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