PSLE
A bookstore is having a book sale. The 1st book is at 5% discount. The 2nd book is at 35% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.

1. Ivory's books were priced at $18 and $29. How much did she pay for them?
2. Fabian paid a total of $52.70 for his two books. He paid $17.60 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount? 

	1st book	2nd book	Total amount
Original price	100% $29	100% $18
Discount	- 5%	- 35%
Sale price	95%	65%	?

(a)
Selling price of the 1st book
= 95% x 29
= ⁹⁵₁₀₀ x 29
= $27.55

Selling price of 2nd book
= 65% x 18
= ⁶⁵₁₀₀ x 18
= $11.70

Total amount that Ivory paid
= 27.55 + 11.70
= $39.25

	1st book	2nd book	Total amount
Original price	100%	100%
Discount	- 5%	- 35%
Sale price	95%	65%
Compare 1st book and 2nd book	1 u + $17.60	1 u	$52.70

(b)
Sale price of the 1st book = 1 u + 17.60
Sale price of the 2nd book = 1 u

Total amount that Fabian paid
= 1 u + 17.60 + 1 u
= 2 u + 17.60

2 u + 17.60 = 52.70
2 u = 52.70 - 17.60
2 u = 35.10

1 u = 35.10 ÷ 2 = 17.55

Sale price of the 2nd book = $17.55

65% of the price = $17.55
100% of the price = ^17.55₆₅ x 100 = $27

Selling price of the 2nd book before discount = $27

Answer(s): (a) $39.25; (b) $27