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    Question

    Two mixtures, P and Q, have milk-to-honey ratios of 7:5 and

    8:9, respectively. When these two mixtures are combined, the total quantity of the final mixture becomes 0.84 liters, with the milk-to-Honey ratio in the final mixture being 37:33. What was the original quantity of mixture Q before mixing?
    A 550 ml Correct Answer Incorrect Answer
    B 408 ml Correct Answer Incorrect Answer
    C 320 ml Correct Answer Incorrect Answer
    D 160 ml Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let quantity of milk and honey in mixture P and Q is 7x ml and 5x ml and 8y ml and 9y ml respectively.

    Quantity of milk in 840 ml of mixture = 37/70 × 840 = 444 ml

    Quantity of Honey in 840 ml of mixture = 840 – 444 = 396 ml

    So, 7x + 8y = 444

    And, 5x + 9y = 396

    Solving above equations we get;

    x = 36 and y = 24

    So, quantity of mixture Q = 24 × 17 = 408 ml

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