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In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction.Find the number of books.Options80967823

Question

In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction.Find the number of books.Options80967823

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Solution

The problem states that the number of books in the library is between 75 and 100. We also know that 1/6th of the books are fiction and 12.5% are non-fiction.

First, let's convert the percentages to fractions for easier calculation. 1/6th is approximately 16.67% and 12.5% is 1/8th.

The total percentage of books that are either fiction or non-fiction is 16.67% + 12.5% = 29.17%.

This means that 70.83% of the books are either fiction or non-fiction.

Since the number of books is between 75 and 100, we can start by checking the numbers in this range that when multiplied by 70.83% (or 0.7083 in decimal form) result in a whole number, as the number of books cannot be a fraction.

After checking the numbers, we find that 96 is the only number in the range 75-100 that gives a whole number when multiplied by 0.7083.

Therefore, the number of books in the library is 96.

This problem has been solved

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