Question

A bookstore owner offered a sale on books that had not sold in 2 years. The before-tax price on

paperback books was reduced to $2.99 each. The before-tax price on hardback books was reduced
to $3.49 each. The owner sold 60 more paperback books than hardback books for a total sale of
$795, before taxes. How many paperback books were sold? Give the equation and the steps to slove​

Answer 1

155

Explanation:

Let p represent the number of paperback books sold. Then p-60 is the number of hardback books sold. Total revenue will be the sum of products of price and quantity.

2.99p +3.49(p-60) = 795 . . . . . an equation for total revenue

6.48p -209.40 = 795.00 . . . . . simplify

6.48p = 1004.40 . . . . . . . . . . . . add 209.40

1004.40/6.48 = p = 155 . . . . . . divide by the coefficient of p

The owner sold 155 paperback books.