Question

A backpack is on sale for 30% off. If the sale price for the backpack is $27.30 what is the original price of the backpack?

Answer 1

$39.00

Explanation:

Let x = cost of backpack. Then

0.30 x = discount, and

x - 0.30x = sale price

x - 0.30x = 27.30

Combine like terms

0.70x = 27.30

Divide each side by 0.70

x = $39.00

The original price of the backpack was $39.00.

Check:

Original cost = $39.00

Less 30 % = -11.70

Sale price = $27.30