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    Question

    A mixture consists of (k + 16) liters of milk and (2k +

    12) liters of water. After adding 8 liters of milk and 20 liters of water to the mixture, the quantity of water exceeds that of milk. Determine the initial total volume of the mixture.
    A 112 litres Correct Answer Incorrect Answer
    B 84 litres Correct Answer Incorrect Answer
    C 108 litres Correct Answer Incorrect Answer
    D 100 litres Correct Answer Incorrect Answer
    E 96 litres Correct Answer Incorrect Answer

    Solution

    Let the final quantity of milk be '3y' litres

    Final quantity of water = (5/3) X 3y = '5y' litres

    So, (k + 16 + 8) :(2k + 12 + 20) = 3y:5y

    Or, (k + 24) :(2k + 32) = 3:5

    Or, 5 X (k + 24) = 3 X (2k + 32)

    Or, 5k + 120 = 6k + 96

    Or, 'k' = 24

    Initial quantity of mixture = k + 16 + 2k + 12 = 3k + 28 = 3 X 24 + 28 = 100 litres

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