PSLE
Xylia wanted to buy a windbreaker. She saw a blue windbreaker on sale at 10% discount and a purple windbreaker at 20% discount. Both windbreakers had the same original price before the discounts. To buy the blue windbreaker, Xylia would need $9.10 more that what she had. So Xylia bought the purple windbreaker. After that, she had $18 left.

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

	Blue windbreaker	Purple windbreaker
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

(a)
Difference in the discount between the blue windbreaker and the purple windbreaker
= 20% - 10%
= 10%

Additional amount that Xylia needed to pay if she would buy the blue windbreaker
= 9.10 + 18
= $27.10

10% →  27.10
100% → ^27.10₁₀ x 100 = 271

Original price of the blue windbreaker = $271

(b)
Price of the purple windbreaker after discount in percentage
= 100% - 20%
= 80%

Price of the purple windbreaker after discount
= ⁸⁰₁₀₀ x 271
= $216.80

Amount that Xylia had at first
= 216.80 + 18
= $234.80

Answer(s): (a) $271; (b) $234.80