Question

Rebekah purchased a sweater that was reduced by twenty-five percent (or one-fourth) of its original price. She also used a store coupon for five dollars off her already-reduced purchase. When she made the purchase, she paid the cashier nineteen dollars. What was the original price of the sweater?

Answer 1

s = cost of the sweater

s - 0.25s - 5 = 19
0.75s - 5 = 19
0.75s = 19 + 5
0.75s = 24
s = 24/0.75
s = 32

check..
32 - 0.25(32) - 5 = 19
32 - 8 - 5 = 19
32 - 13 = 19
19 = 19 (correct)

original price of sweater (s) = $ 32