Wendy had some money. She spent 25% on rent and 30% of her remaining money on a coat. She had $189 left.

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

(a)
Percent of Wendy's amount left after she spent on rent
= 100% - 25%
= 75%

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

Fraction of Wendy's amount left
= 70% x 75% 
= ⁷⁰₁₀₀ x ⁷⁵₁₀₀
= ²¹₄₀

Total amount that Wendy had = 40 u
Amount that Wendy had left = 21 u

21 u = 189

1 u = 189 ÷ 21 = 9

Amount that Wendy had at first
= 40 u
= 40 x 9
= $360

(b)
Fraction of Wendy's amount spent on the coat
= 30% x 75% 
= ³⁰₁₀₀ x ⁷⁵₁₀₀ 
= ⁹₄₀

Amount that Wendy spent on the coat
= 9 u
= 9 x 9
= $81

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

75% of the price of the coat = 81
1% of the price of the coat = 81 ÷ 75 = 1.08
100% of the price of the coat = 100 x 1.08 = 108

Original price of the coat = $108

Answer(s): (a) $360; (b) $108