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    Question

    The ratio of the milk to water in a mixture is 5:2. 21

    litres of mixture is removed and 5 litres of water is added. If in the final mixture, the quantity of milk is double the quantity of water, then find the quantity of water in the initial mixture.
    A 22 litres Correct Answer Incorrect Answer
    B 24 litres Correct Answer Incorrect Answer
    C 26 litres Correct Answer Incorrect Answer
    D 28 litres Correct Answer Incorrect Answer
    E 30 litres Correct Answer Incorrect Answer

    Solution

    Let the quantity of the milk in the initial mixture = 5x litres

    The quantity of the water in the initial mixture = 2x litres

    The quantity of milk in 21 litres of mixture = (21/7) ├Ч 5 = 15 litres

    The quantity of water in 21 litres of mixture = (21/7) ├Ч 2 = 6 litres

    According to the question,

    (5x тАУ 15) = 2 ├Ч (2x тАУ 6 + 5)

    5x тАУ 15 = 2 ├Ч (2x тАУ 1)

    5x тАУ 15 = 4x тАУ 2

    x = 13

    The quantity of water in the initial mixture = 2 ├Ч 13 = 26 litres

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