PSLE
Xandra wanted to buy a sweater. She saw a red sweater on sale at 20% discount and a blue sweater at 35% discount. Both sweaters had the same original price before the discounts. To buy the red sweater, Xandra would need $4.70 more that what she had. So Xandra bought the blue sweater. After that, she had $10 left.

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

	Red sweater	Blue sweater
Before	100%	100%
Change	- 20%	- 35%
After	80%	65%

(a)
Difference in the discount between the red sweater and the blue sweater
= 35% - 20%
= 15%

Additional amount that Xandra needed to pay if she would buy the red sweater
= 4.70 + 10
= $14.70

15% →  14.70
100% → ^14.70₁₅ x 100 = 98

Original price of the red sweater = $98

(b)
Price of the blue sweater after discount in percentage
= 100% - 35%
= 65%

Price of the blue sweater after discount
= ⁶⁵₁₀₀ x 98
= $63.70

Amount that Xandra had at first
= 63.70 + 10
= $73.70

Answer(s): (a) $98; (b) $73.70