PSLE
A fruit stall sold limes at 80¢ and papayas at 60¢ each. Olivia bought some limes and Jane bought some papayas from the stall. Jane spent $0.40 less than Olivia, but had 3 fruits more than Olivia.

1. How many papayas did Jane buy?
2. How much did Olivia spend on the limes?

	Limes	Papayas
Number	1 u	1 u + 3
Value	0.8	0.6
Total value	0.8 u	0.6 u + 1.8

(a)
Number of limes that Olivia bought = 1 u
Number of papayas that Jane bought = 1 u + 3

Amount that Olivia paid = 0.8 x 1 u = 0.8 u
Amount that Jane paid = 0.6(1 u + 3) = 0.6 u + 1.8

If Jane spent another $0.40, both Jane and Olivia would spend the same amount.

0.8 u = 0.6 u + 1.8 + 0.4
0.8 u - 0.6 u = 1.8 + 0.4
0.2 u = 2.2

1 u = 2.2 ÷ 0.2 = 11

Number of papayas that Jane bought
= 1 u + 3
= 11 + 3
= 14

(b)
Amount that Olivia spent on the limes
= 0.8 u 
= 0.8 x 11 
= $8.80

Answer(s): (a) 11; (b) $8.80