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    Question

    In a class, the ratio of number of boys to number of

    girls is 13:9. If 2 boys joined the class and 6 girls left the class, then the ratio becomes 5:3. Find the actual number of girls in the class.
    A 45 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 54 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 13x and 9x, respectively.
    (13x + 2) : (9x − 6) = 5 : 3
    Or, 3(13x + 2) = 5(9x − 6)
    Or, 39x + 6 = 45x − 30
    Or, 6x = 36 ⇒ x = 6
    Therefore, number of girls = 9 × 6 = 54 

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