Q:

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?

Accepted Solution

A:
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   : 7Now, The total Non fiction books in library  = 240Let the total number of fiction books in the library = m⇒Ratio of Non Fiction :  Fiction books  in Library  = 240   : mNow, By THE RATIO OF PROPORTIONALITY:[tex]\frac{3}{7}   = \frac{240}{m}[/tex]or, [tex]m= \frac{240 \times 7}{3}  = 560[/tex]⇒ m = 560or, the number of fiction books in library = 560So,the total number of books in library =  Fiction books  +  Non - fiction books  = 560 + 240 = 800Hence, in the library there are in total 800 books.