Gwen had some money. She spent 40% on books and 25% of her remaining money on a windbreaker. She had $108 left.

1. How much did she have at first?
2. If the windbreaker was bought at a 25% discount, what was the original price of the windbreaker?

(a)
Percent of Gwen's amount left after she spent on books
= 100% - 40%
= 60%

Percent of Gwen's remaining amount left after she spent on the windbreaker
= 100% - 25%
= 75%

Fraction of Gwen's amount left
= 75% x 60% 
= ⁷⁵₁₀₀ x ⁶⁰₁₀₀
= ⁹₂₀

Total amount that Gwen had = 20 u
Amount that Gwen had left = 9 u

9 u = 108

1 u = 108 ÷ 9 = 12

Amount that Gwen had at first
= 20 u
= 20 x 12
= $240

(b)
Fraction of Gwen's amount spent on the windbreaker
= 25% x 60% 
= ²⁵₁₀₀ x ⁶⁰₁₀₀ 
= ³₂₀

Amount that Gwen spent on the windbreaker
= 3 u
= 3 x 12
= $36

Discounted price of the windbreaker in percent
= 100% - 25%
= 75%

75% of the price of the windbreaker = 36
1% of the price of the windbreaker = 36 ÷ 75 = 0.48
100% of the price of the windbreaker = 100 x 0.48 = 48

Original price of the windbreaker = $48

Answer(s): (a) $240; (b) $48