PSLE
Lucy wanted to buy a jacket. She saw a white jacket on sale at 15% discount and a yellow jacket at 35% discount. Both jackets had the same original price before the discounts. To buy the white jacket, Lucy would need $5.40 more that what she had. So Lucy bought the yellow jacket. After that, she had $9 left.

1. What was the original price of the white jacket?
2. How much money did Lucy have at first?

	White jacket	Yellow jacket
Before	100%	100%
Change	- 15%	- 35%
After	85%	65%

(a)
Difference in the discount between the white jacket and the yellow jacket
= 35% - 15%
= 20%

Additional amount that Lucy needed to pay if she would buy the white jacket
= 5.40 + 9
= $14.40

20% →  14.40
100% → ^14.40₂₀ x 100 = 72

Original price of the white jacket = $72

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

Price of the yellow jacket after discount
= ⁶⁵₁₀₀ x 72
= $46.80

Amount that Lucy had at first
= 46.80 + 9
= $55.80

Answer(s): (a) $72; (b) $55.80