PSLE
Joelle wanted to buy a vest. She saw a grey vest on sale at 10% discount and a purple vest at 20% discount. Both vests had the same original price before the discounts. To buy the grey vest, Joelle would need $8.40 more that what she had. So Joelle bought the purple vest. After that, she had $14 left.

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

	Grey vest	Purple vest
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

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

Additional amount that Joelle needed to pay if she would buy the grey vest
= 8.40 + 14
= $22.40

10% →  22.40
100% → ^22.40₁₀ x 100 = 224

Original price of the grey vest = $224

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

Price of the purple vest after discount
= ⁸⁰₁₀₀ x 224
= $179.20

Amount that Joelle had at first
= 179.20 + 14
= $193.20

Answer(s): (a) $224; (b) $193.20