PSLE
A fruit stall sold dragon fruits at 90¢ and limes at 60¢ each. Penelope bought some dragon fruits and Barbara bought some limes from the stall. Penelope spent $2.40 more than Barbara, but had 2 fruits fewer than Barbara.

1. How many dragon fruits did Penelope buy?
2. How much did Barbara spend on the limes?

	Dragon Fruits	Limes
Number	1 u	1 u + 2
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.2

(a)
Number of dragon fruits that Penelope bought = 1 u
Number of limes that Barbara bought = 1 u + 2

Amount that Penelope paid = 0.9 x 1 u = 0.9 u
Amount that Barbara paid = 0.6(1 u + 2) = 0.6 u + 1.2

If Barbara spent another $2.40, both Barbara and Penelope would spend the same amount.

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

1 u = 3.6 ÷ 0.3 = 12

Number of dragon fruits that Penelope bought
= 1 u
= 12

(b)
Amount that Barbara spent on the limes
= 0.6 u + 1.2
= 0.6 x 12 + 1.2
= 7.2 + 1.2
= $8.40

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