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    Question

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

    girls is 6:5. If 1 boy joined the class and 5 girls left the class, then the ratio becomes 7:5. Find the actual number of girls in the class.
    A 35 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 6x and 5x, respectively.
    (6x + 1) : (5x − 5) = 7 : 5
    Or, 5(6x + 1) = 7(5x − 5)
    Or, 30x + 5 = 35x − 35
    Or, 5x = 40 ⇒ x = 8
    Therefore, number of girls = 5 × 8 = 40 

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