ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The ratio of the number of fiction to non-fiction books in

    a library is 4:7. If 16 more books of each type are added, the ratio becomes 8:13. Find the number of non-fiction books originally.
    A 184 Correct Answer Incorrect Answer
    B 140 Correct Answer Incorrect Answer
    C 175 Correct Answer Incorrect Answer
    D 168 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original number of fiction and non-fiction books be тАШ4xтАЩ and тАШ7xтАЩ, respectively.

    ATQ;

    (4x + 16) / (7x + 16) = (8/13)

    Or, 13 ├Ч (4x + 16) = 8 ├Ч (7x + 16)

    Or, 52x + 208 = 56x + 128

    Or, 4x = 80

    Or, x = 20

    So, the number of non-fiction books originally = 7 ├Ч 20 = 140

    Practice Next
    More Ratio Questions

    Relevant for Exams:

    ask-question