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    Question

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

    girls is 14:9. If 3 boys joined the class and 3 girls left the class, then the ratio becomes 5:3. Find the actual number of girls in the class.
    A 54 Correct Answer Incorrect Answer
    B 63 Correct Answer Incorrect Answer
    C 72 Correct Answer Incorrect Answer
    D 81 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 14x and 9x, respectively.
    (14x + 3) : (9x тИТ 3) = 5 : 3
    Or, 3(14x + 3) = 5(9x тИТ 3)
    Or, 42x + 9 = 45x тИТ 15
    Or, 3x = 24 тЗТ x = 8
    Therefore, number of girls = 9 ├Ч 8 = 72┬а

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