Multiple choice

A mixture contains milk and water in a ratio of 7:11. When 7 liters of water is added, the ratio changes to 7:13. Find the quantity of milk in the initial mixture.

  1. 23.5

  2. 24.8

  3. 22.4

  4. 24.5

  5. 25.3
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D Correct answer
Explanation

Initial ratio 7x:11x. Adding 7 liters of water: 7x / (11x + 7) = 7/13. Solving for x: 13 * 7x = 7 * (11x + 7) => 91x = 77x + 49 => 14x = 49 => x = 3.5. Milk = 7 * 3.5 = 24.5.

AI explanation

The initial volume of milk remains 7 units, and adding 7 liters of water changes the water from 11 units to 13 units, meaning 2 units of water equals 7 liters. This makes 1 unit equal to 3.5 liters. Since the initial mixture has 7 units of milk, the initial quantity of milk is 7 multiplied by 3.5, which equals 24.5.

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