Question

Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:

Answer 1

Number of books in non fiction section  = 200

Number of books in fiction section  = 800

Number of books in reference section  = 850

Step-by-step explanation:

Total number of books in the library = 1850

Let us assume, number of books in non fiction section = m

Number of books in fiction section= 4 x Number of books in non  fiction

= 4  x  (m)

So, the number of books in reference section = 650 + m

Now, Total Number of books =  Number of { Fiction + Non- Fiction + Reference} Books

or,  1850 =  m + (4 m)  + 650 + m

or, 6 m + 650 = 1850

⇒ 6 m = 1850 - 650 = 1200

or, m = 1200 / 6 = 200  

⇒ m = 200

Hence, the number of books in non fiction section  = 200

Number of books in fiction section  =  4 m = 4 x 200 = 800

Number of books in reference section = 650 + m  = 200 + 650 = 850