A bookstore sells hardback books for $8 each and paperback books for $5 each. If the bookstore sells a total of 88 books and makes $599, exactly how many hardback books does the bookstore sell?.

Respuesta :

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Answer:

53 hardback books the store sold

Step-by-step explanation:

Let

the number of hardback books for $8 each be x

the number of paperback books for $5 each be y

Write the system of equation for number of books and amount of money made from selling them.

Sells a total of 88 books and makes $599

x+y = 88

8x+5y = 599

How many hardback books (x) does the bookstore sell?

Find x by solving the system of equations:

x+y = 88 , multiply by -5 to eliminate y

8x+5y = 599

-5x-5y = -440

8x+5y = 599

---------------------, add the two equations

3x       = 159, divide on both side of equal sign by 3

     x = 53