Question

Ratio and proportions The library at school is organized by fiction and non fiction books. There are 3 non fiction books for every 7 fiction books. How many total books are there if the library has 240 non fiction books?

Answer 1

Answer:

In the library there are in total 800 books.

Step-by-step explanation:

The number of non fiction books  = 3 for every 7 fiction books.

⇒Ratio of Non Fiction :  Fiction books  = 3   : 7

Now, The total Non fiction books in library  = 240

Let the total number of fiction books in the library = m

⇒Ratio of Non Fiction :  Fiction books  in Library  = 240   : m

Now, By THE RATIO OF PROPORTIONALITY:

$\frac{3}{7} = \frac{240}{m}$

or, $m= \frac{240 \times 7}{3} = 560$

⇒ m = 560

or, the number of fiction books in library = 560

So,the total number of books in library

=  Fiction books  +  Non - fiction books

 = 560 + 240 = 800

Hence, in the library there are in total 800 books.