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At first, on a bookshelf, 7/10 of the books were non-fiction books and the rest were fiction books. 1/3 of the fiction books and 1/7 of the non-fiction books were removed. Twelve non-fiction books were removed. How many books were left on the bookshelf altogether?

 Jun 1, 2023
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7/10B are non-fiction

3/10B are fiction

 

(1/7)*(7/10)B ==12, solve for B

B ==120 - initial number of all books on the shelf, of which:

 

7/10 * 120 ==84 were non-fiction initially.

3/10 * 120 ==36 were fiction books initially.

 

36  -  (1/3 *36) ==24 fiction books were left on the shelf.

84  - (1/7 * 84) ==72 non-fiction books left on the shelf.

 

24  +  72 ==96 - total number  of books left on the shelf. 

 Jun 1, 2023

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