195k views
3 votes
A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal bought 3 more paperback books than hardback books. Jamal spent $47. How many paperback books did Jamal buy?

1 Answer

4 votes

Answer:

5 paperback books

Explanation:

From the question:

A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal spent $47.

Let the number of paper backs = p

Let the number rod hardbacks = h

Hence:

$11 × h + $5 × p = $47

11h + 5p = 47

Jamal bought 3 more paperback books than hardback books.

h + 3 = p

h = p - 3

How many paperback books did Jamal buy?

Hence:

11h + 5p = 47

11(p - 3) + 5p = 47

11p - 33 + 5p = 47

16p = 47 + 33

16p = 80

p = 80/16

p = 5

Hence, he bought 5 paper back books

User Edward Maxedon
by
5.6k points