PSLE
Sarah wanted to buy a windbreaker. She saw a black windbreaker on sale at 15% discount and a pink windbreaker at 30% discount. Both windbreakers had the same original price before the discounts. To buy the black windbreaker, Sarah would need $8.40 more that what she had. So Sarah bought the pink windbreaker. After that, she had $18 left.

1. What was the original price of the black windbreaker?
2. How much money did Sarah have at first?

	Black windbreaker	Pink windbreaker
Before	100%	100%
Change	- 15%	- 30%
After	85%	70%

(a)
Difference in the discount between the black windbreaker and the pink windbreaker
= 30% - 15%
= 15%

Additional amount that Sarah needed to pay if she would buy the black windbreaker
= 8.40 + 18
= $26.40

15% →  26.40
100% → ^26.40₁₅ x 100 = 176

Original price of the black windbreaker = $176

(b)
Price of the pink windbreaker after discount in percentage
= 100% - 30%
= 70%

Price of the pink windbreaker after discount
= ⁷⁰₁₀₀ x 176
= $123.20

Amount that Sarah had at first
= 123.20 + 18
= $141.20

Answer(s): (a) $176; (b) $141.20