Cindy had some money. She spent 50% on rent and 30% of her remaining money on a windbreaker. She had $49 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 Cindy's amount left after she spent on rent
= 100% - 50%
= 50%

Percent of Cindy's remaining amount left after she spent on the windbreaker
= 100% - 30%
= 70%

Fraction of Cindy's amount left
= 70% x 50% 
= ⁷⁰₁₀₀ x ⁵⁰₁₀₀
= ⁷₂₀

Total amount that Cindy had = 20 u
Amount that Cindy had left = 7 u

7 u = 49

1 u = 49 ÷ 7 = 7

Amount that Cindy had at first
= 20 u
= 20 x 7
= $140

(b)
Fraction of Cindy's amount spent on the windbreaker
= 30% x 50% 
= ³⁰₁₀₀ x ⁵⁰₁₀₀ 
= ³₂₀

Amount that Cindy spent on the windbreaker
= 3 u
= 3 x 7
= $21

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

70% of the price of the windbreaker = 21
1% of the price of the windbreaker = 21 ÷ 70 = 0.3
100% of the price of the windbreaker = 100 x 0.3 = 30

Original price of the windbreaker = $30

Answer(s): (a) $140; (b) $30