PSLE
A fruit stall sold grapefruits at 60¢ and pomegranates at 30¢ each. Dana bought some grapefruits and Raeann bought some pomegranates from the stall. Dana spent $0.30 more than Raeann, but had 7 fruits fewer than Raeann.

1. How many grapefruits did Dana buy?
2. How much did Raeann spend on the pomegranates?

	Grapefruits	Pomegranates
Number	1 u	1 u + 7
Value	0.6	0.3
Total value	0.6 u	0.3 u + 2.1

(a)
Number of grapefruits that Dana bought = 1 u
Number of pomegranates that Raeann bought = 1 u + 7

Amount that Dana paid = 0.6 x 1 u = 0.6 u
Amount that Raeann paid = 0.3(1 u + 7) = 0.3 u + 2.1

If Raeann spent another $0.30, both Raeann and Dana would spend the same amount.

0.6 u = 0.3 u + 2.1 + 0.3
0.6 u - 0.3 u = 2.1 + 0.3
0.3 u = 2.4

1 u = 2.4 ÷ 0.3 = 8

Number of grapefruits that Dana bought
= 1 u
= 8

(b)
Amount that Raeann spent on the pomegranates
= 0.3 u + 2.1
= 0.3 x 8 + 2.1
= 2.4 + 2.1
= $4.50

Answer(s): (a) 8; (b) $4.50