Question

Of the 3120 book win the library, there are three times as many books in the fiction section as are in the fiction section as are in the nonfiction section. Also, there are 400 fewer books in the reference section than are in the nonfiction section. How many books are in each section?

Answer 1

Answer: There are 704 non fiction books, 2112 fiction books and 304 reference books.

Explanation:

Let the number of non - fiction books be x

Let the number of fiction books be 3x

let the number of reference books be x-400

Since we have given that

Total number of books in the library = 3120

According to question,

`x+3x+x-400=3120\\\\5x-400=3120\\\\5x=3120+400\\\\5x=3520\\\\x=(3520)/(5)\\\\x=704`

Hence, the number of non fiction books = 704

Number of fiction books = 3 × 704=2112

Number of reference books = 704-400=304