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    Question

    In a classroom, the ratio of the number of left-handed to

    right-handed students is 5:6. When 10 more students of each type join, the ratio changes to 15:16. Find the original number of right-handed students.
    A 4 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original number of left-handed and right-handed students be тАШ5xтАЩ and тАШ6xтАЩ, respectively.

    ATQ;

    (5x + 10) / (6x + 10) = (15/16)

    Or, 16 ├Ч (5x + 10) = 15 ├Ч (6x + 10)

    Or, 80x + 160 = 90x + 150

    Or, 10x = 10

    Or, x = 1

    So, the number of right-handed students originally = 6 ├Ч 1 = 6

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