In the library at Lenape Elementary School, there are 2 5 as many fiction books as there are nonfiction books. There are 56 books in the sch

Question

In the library at Lenape Elementary School, there are 2 5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?

in progress 0
Ariana 4 weeks 2021-09-19T16:37:15+00:00 1 Answer 0

Answers ( )

    0
    2021-09-19T16:38:26+00:00

    Answer:

    There are 16 fiction books in the library.

    Step-by-step explanation:

    We are given the following in the question:

    Let x be the number of fiction books and y be the number of non fiction books.

    Total number of books = 56

    Thus, we can write the equation:

    x+y = 56

    There are \frac{2}{5} as many fiction books as there are nonfiction books.

    Thus, we can write the equation:

    x = \dfrac{2}{5}y

    Solving the two equations by substitution, we get,

    \dfrac{2}{5}y + y = 56\\\\\dfrac{7}{5}y = 56\\\\y = 56\times \dfrac{5}{7}\\\\y = 40

    Thus, there are 40 non fiction books.

    Number of fiction books =

    x  = 56 - 40 = 16

    Thus, there are 16 fiction books in the library.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )