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    Question

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

    girls is 12:11. If 3 boys joined the class and 1 girl left the class, then the ratio becomes 7:6. Find the actual number of girls in the class.
    A 44 Correct Answer Incorrect Answer
    B 55 Correct Answer Incorrect Answer
    C 66 Correct Answer Incorrect Answer
    D 77 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 12x and 11x, respectively.
    (12x + 3) : (11x тИТ 1) = 7 : 6
    Or, 6(12x + 3) = 7(11x тИТ 1)
    Or, 72x + 18 = 77x тИТ 7
    Or, 5x = 25 тЗТ x = 5
    Therefore, number of girls = 11 ├Ч 5 = 55┬а

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