Noah paid $17.25 for 2 pairs of shorts. He saved 25%. What was the original cost of the 2 pairs of shorts?

Answer 1

17.25 after saving 25% means the original price was $23

23-.25(23) = .75(23) = $17.25 = the discount price after 25% off

let P= the original Price

P=discount price/(1-percent discount)

P = 17.25/(1-.25) = 17.25/.75 = 1725/75 = 69/3 = $23

17.25 = 17 1/4 = 69/4

.75 = 3/4

(69/4)/(3/4) = 69/3 = $23

discounted price = original price - percent off x original price

17.25 = P-.25P = (1-.25)P = .75P

.75P = 17.25

P = 17.25/.752 + $23.00