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.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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