Gabby had some money. She spent 20% on rent and 30% of her remaining money on a jacket. She had $28 left.

1. How much did she have at first?
2. If the jacket was bought at a 40% discount, what was the original price of the jacket?

(a)
Percent of Gabby's amount left after she spent on rent
= 100% - 20%
= 80%

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

Fraction of Gabby's amount left
= 70% x 80% 
= ⁷⁰₁₀₀ x ⁸⁰₁₀₀
= ¹⁴₂₅

Total amount that Gabby had = 25 u
Amount that Gabby had left = 14 u

14 u = 28

1 u = 28 ÷ 14 = 2

Amount that Gabby had at first
= 25 u
= 25 x 2
= $50

(b)
Fraction of Gabby's amount spent on the jacket
= 30% x 80% 
= ³⁰₁₀₀ x ⁸⁰₁₀₀ 
= ⁶₂₅

Amount that Gabby spent on the jacket
= 6 u
= 6 x 2
= $12

Discounted price of the jacket in percent
= 100% - 40%
= 60%

60% of the price of the jacket = 12
1% of the price of the jacket = 12 ÷ 60 = 0.2
100% of the price of the jacket = 100 x 0.2 = 20

Original price of the jacket = $20

Answer(s): (a) $50; (b) $20