PSLE
Rachel wanted to buy a vest. She saw a purple vest on sale at 20% discount and a pink vest at 30% discount. Both vests had the same original price before the discounts. To buy the purple vest, Rachel would need $4.70 more that what she had. So Rachel bought the pink vest. After that, she had $18 left.

1. What was the original price of the purple vest?
2. How much money did Rachel have at first?

	Purple vest	Pink vest
Before	100%	100%
Change	- 20%	- 30%
After	80%	70%

(a)
Difference in the discount between the purple vest and the pink vest
= 30% - 20%
= 10%

Additional amount that Rachel needed to pay if she would buy the purple vest
= 4.70 + 18
= $22.70

10% →  22.70
100% → ^22.70₁₀ x 100 = 227

Original price of the purple vest = $227

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

Price of the pink vest after discount
= ⁷⁰₁₀₀ x 227
= $158.90

Amount that Rachel had at first
= 158.90 + 18
= $176.90

Answer(s): (a) $227; (b) $176.90