Penelope had some money. She spent 40% on a tour and 25% of her remaining money on a windbreaker. She had $126 left.

1. How much did she have at first?
2. If the windbreaker was bought at a 30% discount, what was the original price of the windbreaker?

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

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

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

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

9 u = 126

1 u = 126 ÷ 9 = 14

Amount that Penelope had at first
= 20 u
= 20 x 14
= $280

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

Amount that Penelope spent on the windbreaker
= 3 u
= 3 x 14
= $42

Discounted price of the windbreaker in percent
= 100% - 30%
= 70%

70% of the price of the windbreaker = 42
1% of the price of the windbreaker = 42 ÷ 70 = 0.6
100% of the price of the windbreaker = 100 x 0.6 = 60

Original price of the windbreaker = $60

Answer(s): (a) $280; (b) $60