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    Question

    The ratio of males to females on a bus is 7:6. At the

    next stop, 7 males and 8 females exit the bus, while 4 males and 24 females board it. As a result, the ratio of males to females on the bus becomes 3:4. Determine the initial number of males on the bus.
    A 36 Correct Answer Incorrect Answer
    B 49 Correct Answer Incorrect Answer
    C 54 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer
    E 42 Correct Answer Incorrect Answer

    Solution

    Let the initial number of males and females in the bus be 7x and 6x respectively

    According to the question,

    (7x – 7 + 4)/(6x – 8 + 24) = 3/4

    Or, 28x – 12 = 18x + 48

    Or, 10x = 60

    Or, x = 6

    Therefore, initial number of males in the bus = 7x = 42

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