๐Ÿ“ข Too many exams? Donโ€™t know which one suits you best? Book Your Free Expert ๐Ÿ‘‰ call Now!

    Question

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

    girls is 15:11. If 3 boys joined the class and 1 girl left the class, then the ratio becomes 7:5. Find the actual number of girls in the class.
    A 99 Correct Answer Incorrect Answer
    B 110 Correct Answer Incorrect Answer
    C 121 Correct Answer Incorrect Answer
    D 132 Correct Answer Incorrect Answer
    E 143 Correct Answer Incorrect Answer

    Solution

    Let initially the number of boys and girls be 15x and 11x, respectively.
    (15x + 3) : (11x โˆ’ 1) = 7 : 5
    Or, 5(15x + 3) = 7(11x โˆ’ 1)
    Or, 75x + 15 = 77x โˆ’ 7
    Or, 2x = 22 โ‡’ x = 11
    Therefore, number of girls = 11 ร— 11 = 121ย 

    Practice Next
    More Ratio and proportion Questions
    ask-question