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    Question

    A mixture is made up of milk and

    honey in the ratio of 8:5, where the amount of milk exceeds the amount of honey by 60 liters. Determine the quantity of water to be added to the mixture so that the milk-to-honey ratio becomes 4:3.
    A 18 litres Correct Answer Incorrect Answer
    B 35 litres Correct Answer Incorrect Answer
    C 20 litres Correct Answer Incorrect Answer
    D 38 litres Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of milk and honey in the mixture be 8x litres and 5x litres, respectively According to the question, 8x тАУ 5x = 60 Or, 3x = 60 Or, x = 20 Therefore, quantity of milk = 8x = 160 litres Quantity of honey = 5x = 100 litres Let the quantity of honey added be тАШyтАЩ litres According to the question, 160/(100 + y) = 4/3 Or, 100 + y = 120 Or, y = 20 Therefore, quantity of honey to be added = 20 litres

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