PSLE
A store 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.

Betty and Michael each bought two books at the sale.

1. Betty's books were priced at $34 and $34. How much did she pay for them?
2. Michael paid a total of $46.65 for his two books. He paid $9.45 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount? 

	1st book	2nd book	Total amount
Original price	100% $34	100% $34
Discount	- 15%	- 40%
Sale price	85%	60%	?

(a)
Selling price of the 1st book
= 85% x 34
= ⁸⁵₁₀₀ x 34
= $28.90

Selling price of 2nd book
= 60% x 34
= ⁶⁰₁₀₀ x 34
= $20.40

Total amount that Betty paid
= 28.90 + 20.40
= $49.30

	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 + $9.45	1 u	$46.65

(b)
Sale price of the 1st book = 1 u + 9.45
Sale price of the 2nd book = 1 u

Total amount that Michael paid
= 1 u + 9.45 + 1 u
= 2 u + 9.45

2 u + 9.45 = 46.65
2 u = 46.65 - 9.45
2 u = 37.20

1 u = 37.20 ÷ 2 = 18.60

Sale price of the 2nd book = $18.60

60% of the price = $18.60
100% of the price = ^18.60₆₀ x 100 = $31

Selling price of the 2nd book before discount = $31

Answer(s): (a) $49.30; (b) $31