PSLE
A fruit stall sold pears at 90¢ and oranges at 70¢ each. Shannon bought some pears and Gem bought some oranges from the stall. Gem spent $0.10 less than Shannon, but had 3 fruits more than Shannon.

1. How many oranges did Gem buy?
2. How much did Shannon spend on the pears?

	Pears	Oranges
Number	1 u	1 u + 3
Value	0.9	0.7
Total value	0.9 u	0.7 u + 2.1

(a)
Number of pears that Shannon bought = 1 u
Number of oranges that Gem bought = 1 u + 3

Amount that Shannon paid = 0.9 x 1 u = 0.9 u
Amount that Gem paid = 0.7(1 u + 3) = 0.7 u + 2.1

If Gem spent another $0.10, both Gem and Shannon would spend the same amount.

0.9 u = 0.7 u + 2.1 + 0.1
0.9 u - 0.7 u = 2.1 + 0.1
0.2 u = 2.2

1 u = 2.2 ÷ 0.2 = 11

Number of oranges that Gem bought
= 1 u + 3
= 11 + 3
= 14

(b)
Amount that Shannon spent on the pears
= 0.9 u 
= 0.9 x 11 
= $9.90

Answer(s): (a) 11; (b) $9.90