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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?

Respuesta :

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:

[tex]\frac{3}{7}   = \frac{240}{m}[/tex]

or, [tex]m= \frac{240 \times 7}{3}  = 560[/tex]

⇒ 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.

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