PSLE
Gem wanted to buy a sweater. She saw a silver sweater on sale at 25% discount and a purple sweater at 35% discount. Both sweaters had the same original price before the discounts. To buy the silver sweater, Gem would need $6.60 more that what she had. So Gem bought the purple sweater. After that, she had $14 left.

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

	Silver sweater	Purple sweater
Before	100%	100%
Change	- 25%	- 35%
After	75%	65%

(a)
Difference in the discount between the silver sweater and the purple sweater
= 35% - 25%
= 10%

Additional amount that Gem needed to pay if she would buy the silver sweater
= 6.60 + 14
= $20.60

10% →  20.60
100% → ^20.60₁₀ x 100 = 206

Original price of the silver sweater = $206

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

Price of the purple sweater after discount
= ⁶⁵₁₀₀ x 206
= $133.90

Amount that Gem had at first
= 133.90 + 14
= $147.90

Answer(s): (a) $206; (b) $147.90