PSLE
A fruit stall sold grapefruits at 90¢ and lemons at 60¢ each. Wendy bought some grapefruits and Xandra bought some lemons from the stall. Wendy spent $0.60 more than Xandra, but had 2 fruits fewer than Xandra.

1. How many grapefruits did Wendy buy?
2. How much did Xandra spend on the lemons?

	Grapefruits	Lemons
Number	1 u	1 u + 2
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.2

(a)
Number of grapefruits that Wendy bought = 1 u
Number of lemons that Xandra bought = 1 u + 2

Amount that Wendy paid = 0.9 x 1 u = 0.9 u
Amount that Xandra paid = 0.6(1 u + 2) = 0.6 u + 1.2

If Xandra spent another $0.60, both Xandra and Wendy would spend the same amount.

0.9 u = 0.6 u + 1.2 + 0.6
0.9 u - 0.6 u = 1.2 + 0.6
0.3 u = 1.8

1 u = 1.8 ÷ 0.3 = 6

Number of grapefruits that Wendy bought
= 1 u
= 6

(b)
Amount that Xandra spent on the lemons
= 0.6 u + 1.2
= 0.6 x 6 + 1.2
= 3.6 + 1.2
= $4.80

Answer(s): (a) 6; (b) $4.80