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    Question

    Two mixtures, A and B, have milk-to-sugar ratios of 5:3 and

    6:7, respectively. When these two mixtures are combined, the total quantity of the final mixture becomes 1.2 liters, with the milk-to-sugar ratio in the final mixture being 31:29. What was the original quantity of mixture B before mixing?
    A 550 ml Correct Answer Incorrect Answer
    B 408 ml Correct Answer Incorrect Answer
    C 320 ml Correct Answer Incorrect Answer
    D 910 ml Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let quantity of milk and sugar in mixture A and B be 5x ml and 3x ml and 6y ml and 7y ml, respectively.

    Quantity of milk in 1200 ml of mixture = 31/60 × 1200 = 620 ml

    Quantity of sugar in 1200 ml of mixture = 1200 – 620 = 580 ml

    So, 5x + 6y = 620

    And, 3x + 7y = 580

    Solving the above equations, we get;

    x = 60 and y = 70

    So, quantity of mixture B = 70 × 13 = 910 ml

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