PSLE
Olivia wanted to buy a sweater. She saw a green sweater on sale at 15% discount and a purple sweater at 25% discount. Both sweaters had the same original price before the discounts. To buy the green sweater, Olivia would need $9.40 more that what she had. So Olivia bought the purple sweater. After that, she had $20 left.

1. What was the original price of the green sweater?
2. How much money did Olivia have at first?

	Green sweater	Purple sweater
Before	100%	100%
Change	- 15%	- 25%
After	85%	75%

(a)
Difference in the discount between the green sweater and the purple sweater
= 25% - 15%
= 10%

Additional amount that Olivia needed to pay if she would buy the green sweater
= 9.40 + 20
= $29.40

10% →  29.40
100% → ^29.40₁₀ x 100 = 294

Original price of the green sweater = $294

(b)
Price of the purple sweater after discount in percentage
= 100% - 25%
= 75%

Price of the purple sweater after discount
= ⁷⁵₁₀₀ x 294
= $220.50

Amount that Olivia had at first
= 220.50 + 20
= $240.50

Answer(s): (a) $294; (b) $240.50