PSLE
A fruit stall sold grapefruits at 90¢ and papayas at 60¢ each. Fiona bought some grapefruits and Esther bought some papayas from the stall. Fiona spent $1.20 more than Esther, but had 4 fruits fewer than Esther.

1. How many grapefruits did Fiona buy?
2. How much did Esther spend on the papayas?

	Grapefruits	Papayas
Number	1 u	1 u + 4
Value	0.9	0.6
Total value	0.9 u	0.6 u + 2.4

(a)
Number of grapefruits that Fiona bought = 1 u
Number of papayas that Esther bought = 1 u + 4

Amount that Fiona paid = 0.9 x 1 u = 0.9 u
Amount that Esther paid = 0.6(1 u + 4) = 0.6 u + 2.4

If Esther spent another $1.20, both Esther and Fiona would spend the same amount.

0.9 u = 0.6 u + 2.4 + 1.2
0.9 u - 0.6 u = 2.4 + 1.2
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of grapefruits that Fiona bought
= 1 u
= 12

(b)
Amount that Esther spent on the papayas
= 0.6 u + 2.4
= 0.6 x 12 + 2.4
= 7.2 + 2.4
= $9.60

Answer(s): (a) 12; (b) $9.60