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    Question

    In a mixture of 40 liters, the ratio of milk to water is

    5:3. How much milk must be replaced by water so that the new ratio becomes 1:1?
    A 5 liters Correct Answer Incorrect Answer
    B 12 liters Correct Answer Incorrect Answer
    C 15 liters Correct Answer Incorrect Answer
    D 18 liters Correct Answer Incorrect Answer
    E 20 liters Correct Answer Incorrect Answer

    Solution

    Let x liters of milk be replaced by water. Milk in the mixture after replacement = (40 × 5/8) - x = 25 - x. Water in the mixture after replacement = (40 × 3/8) + x = 15 + x. We want the new ratio of milk to water to be 1:1. So, 25 - x = 15 + x. Solving for x: 25 - 15 = 2x 10 = 2x x = 5 liters. Correct answer: a.

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