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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.687296None of these

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.687296None of these

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Solution

The question states that the number of books in the library is between 75 and 100.

1/6th of the books are fiction and 12.5% of them are non-fiction.

First, let's convert the fractions to percentages for easier calculation. 1/6th is approximately 16.67% (rounded to two decimal places).

So, 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 of other genres or not categorized.

Since the number of books is between 75 and 100, we can start by checking the numbers that when 70.83% of them is taken, results in a whole number.

After checking, we find that the number of books that fits this condition is 96.

So, the library has 96 books.

This problem has been solved

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