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    Question

    The ratio of milk to water in a mixture is 5:3. If 16

    liters of water is added, the ratio becomes 5:7. Find the initial quantity of milk in the mixture.
    A 10 liters Correct Answer Incorrect Answer
    B 15 liters Correct Answer Incorrect Answer
    C 20 liters Correct Answer Incorrect Answer
    D 25 liters Correct Answer Incorrect Answer

    Solution

    Let the quantity of milk and water be 5x and 3x respectively. After adding water: (5x)/(3x + 16) = 5/7 Cross multiply: 7(5x) = 5(3x + 16) 35x = 15x + 80 20x = 80 x = 4 Initial quantity of milk = 5x = 5 × 4 = 20 liters Correct Option: c

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