To solve this problem, we need to understand that the total number of books is the sum of the fiction and non-fiction books.

1. First, let's express the fractions as decimals for easier calculation. 1/6th is approximately 0.167 and 12.5% is 0.125.

2. We know that the total number of books is between 75 and 100. So, let's denote the total number of books as 'x'.

3. According to the problem, 0.167x (fiction books) + 0.125x (non-fiction books) = x (total books).

4. Adding 0.167x and 0.125x gives us 0.292x.

5. Since 0.292x = x, the only possible solution is that x = 100.

6. Therefore, the total number of books on the shelf is 100.

Please note that this solution assumes that there are no other types of books on the shelf. If there are other types of books, the problem does not provide enough information to solve it.

Question

To solve this problem, we need to understand that the total number of books is the sum of the fiction and non-fiction books.

1. First, let's express the fractions as decimals for easier calculation. 1/6th is approximately 0.167 and 12.5% is 0.125.

2. We know that the total number of books is between 75 and 100. So, let's denote the total number of books as 'x'.

3. According to the problem, 0.167x (fiction books) + 0.125x (non-fiction books) = x (total books).

4. Adding 0.167x and 0.125x gives us 0.292x.

5. Since 0.292x = x, the only possible solution is that x = 100.

6. Therefore, the total number of books on the shelf is 100.

Please note that this solution assumes that there are no other types of books on the shelf. If there are other types of books, the problem does not provide enough information to solve it.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that the total number of books is the sum of the fiction and non-fiction books.

1. First, let's express the fractions as decimals for easier calculation. 1/6th is approximately 0.167 and 12.5% is 0.125.

2. We know that the total number of books is between 75 and 100. So, let's denote the total number of books as 'x'.

3. According to the problem, 0.167x (fiction books) + 0.125x (non-fiction books) = x (total books).

4. Adding 0.167x and 0.125x gives us 0.292x.

5. Since 0.292x = x, the only possible solution is that x = 100.

6. Therefore, the total number of books on the shelf is 100.

Please note that this solution assumes that there are no other types of books on the shelf. If there are other types of books, the problem does not provide enough information to solve it.

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.

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