MATH SOLVE

2 months ago

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.