Yoko had some money. She spent 30% on food and 25% of her remaining money on a blouse. She had $189 left.

1. How much did she have at first?
2. If the blouse was bought at a 10% discount, what was the original price of the blouse?

(a)
Percent of Yoko's amount left after she spent on food
= 100% - 30%
= 70%

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

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

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

21 u = 189

1 u = 189 ÷ 21 = 9

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

(b)
Fraction of Yoko's amount spent on the blouse
= 25% x 70% 
= ²⁵₁₀₀ x ⁷⁰₁₀₀ 
= ⁷₄₀

Amount that Yoko spent on the blouse
= 7 u
= 7 x 9
= $63

Discounted price of the blouse in percent
= 100% - 10%
= 90%

90% of the price of the blouse = 63
1% of the price of the blouse = 63 ÷ 90 = 0.7
100% of the price of the blouse = 100 x 0.7 = 70

Original price of the blouse = $70

Answer(s): (a) $360; (b) $70