Lynn had some money. She spent 20% on food and 30% of her remaining money on a blouse. She had $210 left.

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

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

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

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

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

14 u = 210

1 u = 210 ÷ 14 = 15

Amount that Lynn had at first
= 25 u
= 25 x 15
= $375

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

Amount that Lynn spent on the blouse
= 6 u
= 6 x 15
= $90

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

75% of the price of the blouse = 90
1% of the price of the blouse = 90 ÷ 75 = 1.2
100% of the price of the blouse = 100 x 1.2 = 120

Original price of the blouse = $120

Answer(s): (a) $375; (b) $120