Pamela had some money. She spent 40% on a tour and 30% of her remaining money on a jumpsuit. She had $168 left.

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

(a)
Percent of Pamela's amount left after she spent on a tour
= 100% - 40%
= 60%

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

Fraction of Pamela's amount left
= 70% x 60% 
= ⁷⁰₁₀₀ x ⁶⁰₁₀₀
= ²¹₅₀

Total amount that Pamela had = 50 u
Amount that Pamela had left = 21 u

21 u = 168

1 u = 168 ÷ 21 = 8

Amount that Pamela had at first
= 50 u
= 50 x 8
= $400

(b)
Fraction of Pamela's amount spent on the jumpsuit
= 30% x 60% 
= ³⁰₁₀₀ x ⁶⁰₁₀₀ 
= ⁹₅₀

Amount that Pamela spent on the jumpsuit
= 9 u
= 9 x 8
= $72

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

90% of the price of the jumpsuit = 72
1% of the price of the jumpsuit = 72 ÷ 90 = 0.8
100% of the price of the jumpsuit = 100 x 0.8 = 80

Original price of the jumpsuit = $80

Answer(s): (a) $400; (b) $80