PSLE
A fruit stall sold plums at 60¢ and limes at 30¢ each. Xandra bought some plums and Lucy bought some limes from the stall. Lucy spent $1.80 less than Xandra, but had 3 fruits more than Xandra.

1. How many limes did Lucy buy?
2. How much did Xandra spend on the plums?

	Plums	Limes
Number	1 u	1 u + 3
Value	0.6	0.3
Total value	0.6 u	0.3 u + 0.9

(a)
Number of plums that Xandra bought = 1 u
Number of limes that Lucy bought = 1 u + 3

Amount that Xandra paid = 0.6 x 1 u = 0.6 u
Amount that Lucy paid = 0.3(1 u + 3) = 0.3 u + 0.9

If Lucy spent another $1.80, both Lucy and Xandra would spend the same amount.

0.6 u = 0.3 u + 0.9 + 1.8
0.6 u - 0.3 u = 0.9 + 1.8
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of limes that Lucy bought
= 1 u + 3
= 9 + 3
= 12

(b)
Amount that Xandra spent on the plums
= 0.6 u 
= 0.6 x 9 
= $5.40

Answer(s): (a) 9; (b) $5.40