PSLE
A fruit stall sold pomegranates at 70¢ and papayas at 40¢ each. Xylia bought some pomegranates and Shannon bought some papayas from the stall. Shannon spent $1.20 less than Xylia, but had 6 fruits more than Xylia.

1. How many papayas did Shannon buy?
2. How much did Xylia spend on the pomegranates?

	Pomegranates	Papayas
Number	1 u	1 u + 6
Value	0.7	0.4
Total value	0.7 u	0.4 u + 2.4

(a)
Number of pomegranates that Xylia bought = 1 u
Number of papayas that Shannon bought = 1 u + 6

Amount that Xylia paid = 0.7 x 1 u = 0.7 u
Amount that Shannon paid = 0.4(1 u + 6) = 0.4 u + 2.4

If Shannon spent another $1.20, both Shannon and Xylia would spend the same amount.

0.7 u = 0.4 u + 2.4 + 1.2
0.7 u - 0.4 u = 2.4 + 1.2
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of papayas that Shannon bought
= 1 u + 6
= 12 + 6
= 18

(b)
Amount that Xylia spent on the pomegranates
= 0.7 u 
= 0.7 x 12 
= $8.40

Answer(s): (a) 12; (b) $8.40