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    Question

    A 280 ml mixture is composed of milk and water in the

    ratio 11:9. If an equal amount 'x' ml of both milk and water is added, the new ratio of milk to water changes to 9:8. Determine the value of 'x'.
    A 50 Correct Answer Incorrect Answer
    B 35 Correct Answer Incorrect Answer
    C 140 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Quantity of milk in 280 ml of mixture = 11/20 × 280 = 154 ml Quantity of water in 280 ml of mixture = 280 – 154 = 126 ml So, (154 + x)/(126 + x) = 9/8 Or, 1232 + 8x = 1134 + 9x Or, x = 98

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