PSLE
A bookstore is having a book sale. The 1st book is at 15% discount. The 2nd book is at 40% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.

1. Emma's books were priced at $8 and $19. How much less did she pay for the 2nd book than the 1st book? 
2. Cole paid a total of $44.85 for his two books. He paid $11.25 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount? 

	1st book	2nd book	Total amount
Original price	100% $19	100% $8
Discount	- 15%	- 40%
Sale price	85%	60%	?

(a)
Selling price of the 1st book
= 85% x 19
= ⁸⁵₁₀₀ x 19
= $16.15

Selling price of 2nd book
= 60% x 8
= ⁶⁰₁₀₀ x 8
= $4.80

Amount that Emma paid less for the 2nd book than the 1st book
= 16.15 - 4.80
= $11.35

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 15%	- 40%
Sale price	85%	60%
Compare 1st book and 2nd book	1 u + $11.25	1 u	$44.85

(b)
Sale price of the 1st book = 1 u + 11.25
Sale price of the 2nd book = 1 u

Total amount that Cole paid
= 1 u + 11.25 + 1 u
= 2 u + 11.25

2 u + 11.25 = 44.85
2 u = 44.85 - 11.25
2 u = 33.60

1 u = 33.60 ÷ 2 = 16.80

Sale price of the 1st book
= 1 u + 11.25
= $28.05

85% of the price = $28.05
100% of the price = ^28.05₈₅ x 100 = $33

Selling price of the 1st book before discount = $33

Answer(s): (a) $11.35; (b) $33