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    Question

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

    girls is 8:5. If 1 boy joined the class and 2 girls left the class, then the ratio becomes 7:4. Find the actual number of girls in the class.
    A 25 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 8x and 5x, respectively.
    (8x + 1) : (5x βˆ’ 2) = 7 : 4
    Or, 4(8x + 1) = 7(5x βˆ’ 2)
    Or, 32x + 4 = 35x βˆ’ 14
    Or, 3x = 18 β‡’ x = 6
    Therefore, number of girls = 5 Γ— 6 = 30Β 

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