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    Question

    The ratio of the milk to water in a mixture is 9:4. 39

    litres of mixture is removed and 13 litres of water is added. If in the resulting mixture, the milk is double the water, find the quantity of water in the initial mixture.
    A 112 litres Correct Answer Incorrect Answer
    B 114 litres Correct Answer Incorrect Answer
    C 116 litres Correct Answer Incorrect Answer
    D 118 litres Correct Answer Incorrect Answer
    E 120 litres Correct Answer Incorrect Answer

    Solution

    Let the quantity of the milk in the initial mixture = 9x litres

    The quantity of the water in the initial mixture = 4x litres

    The quantity of milk in 39 litres of mixture = (39/13) × 9 = 27 litres

    The quantity of water in 39 litres of mixture = (39/13) × 4 = 12 litres

    According to the question,

    (9x – 27) = 2 × (4x – 12 + 13)

    9x – 27 = 2 × (4x + 1)

    9x – 27 = 8x + 2

    x = 29

    The quantity of water in the initial mixture = 4 × 29 = 116 litres

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