Roshel had some money. She spent 30% on books and 10% of her remaining money on a blouse. She had $945 left.

1. How much did she have at first?
2. If the blouse was bought at a 30% discount, what was the original price of the blouse?

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

Percent of Roshel's remaining amount left after she spent on the blouse
= 100% - 10%
= 90%

Fraction of Roshel's amount left
= 90% x 70% 
= ⁹⁰₁₀₀ x ⁷⁰₁₀₀
= ⁶³₁₀₀

Total amount that Roshel had = 100 u
Amount that Roshel had left = 63 u

63 u = 945

1 u = 945 ÷ 63 = 15

Amount that Roshel had at first
= 100 u
= 100 x 15
= $1500

(b)
Fraction of Roshel's amount spent on the blouse
= 10% x 70% 
= ¹⁰₁₀₀ x ⁷⁰₁₀₀ 
= ⁷₁₀₀

Amount that Roshel spent on the blouse
= 7 u
= 7 x 15
= $105

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

70% of the price of the blouse = 105
1% of the price of the blouse = 105 ÷ 70 = 1.5
100% of the price of the blouse = 100 x 1.5 = 150

Original price of the blouse = $150

Answer(s): (a) $1500; (b) $150