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    Question

    A room contains three shelves: the 1st, 2nd, and 3rd. The

    number of books on the 1st and 2nd shelves are in the ratio of 6:11, while the number of books on the 1st and 3rd shelves are in the ratio of 2:3. If the total number of books across all three shelves is 208, determine how many books are on the 3rd shelf.
    A 33 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 44 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The ratio of the number of books in 1st, 2nd and 3rd shelf is 6: 11: 9 respectively.
    Let the number of books in 1st, 2nd and 3rd be 6x, 11x and 9x respectively.
    9x + 6x + 11x = 208
    26x = 208
    x = 8
    Number of books in 3rd shelf = 9x = 72

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