PSLE
A fruit stall sold plums at 70¢ and grapefruits at 50¢ each. Gem bought some plums and Tammy bought some grapefruits from the stall. Tammy spent $0.20 less than Gem, but had 2 fruits more than Gem.

1. How many grapefruits did Tammy buy?
2. How much did Gem spend on the plums?

	Plums	Grapefruits
Number	1 u	1 u + 2
Value	0.7	0.5
Total value	0.7 u	0.5 u + 1

(a)
Number of plums that Gem bought = 1 u
Number of grapefruits that Tammy bought = 1 u + 2

Amount that Gem paid = 0.7 x 1 u = 0.7 u
Amount that Tammy paid = 0.5(1 u + 2) = 0.5 u + 1

If Tammy spent another $0.20, both Tammy and Gem would spend the same amount.

0.7 u = 0.5 u + 1 + 0.2
0.7 u - 0.5 u = 1 + 0.2
0.2 u = 1.2

1 u = 1.2 ÷ 0.2 = 6

Number of grapefruits that Tammy bought
= 1 u + 2
= 6 + 2
= 8

(b)
Amount that Gem spent on the plums
= 0.7 u 
= 0.7 x 6 
= $4.20

Answer(s): (a) 6; (b) $4.20