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    Question

    β€˜x’ litres of mixture β€˜A’ contains milk and

    water in the ratio of 5:4, respectively and (x + 30) litres of mixture β€˜B’ contains milk and water in the ratio of 1:2, respectively. If both mixtures are mixed in an empty container β€˜P’ then ratio of milk and water in container β€˜P’ becomes 5:7, respectively then find the value of β€˜x’.
    A 60 Correct Answer Incorrect Answer
    B 70 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E 100 Correct Answer Incorrect Answer

    Solution

    According to the question, [(5x/9) + (x + 30) * 1/3] / [(4x/9) + (x + 30) * 2/3] = 5/7 Or, (5x + 3x + 90) / (4x + 6x + 180) = 5/7 Or, (8x + 90) / (10x + 180) = 5/7 Or, 56x + 630 = 50x + 900 Or, 6x = 270 Or, x = 45

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