PSLE
A fruit stall sold dragon fruits at 60¢ and apples at 30¢ each. Lucy bought some dragon fruits and Xylia bought some apples from the stall. Lucy spent $0.30 more than Xylia, but had 7 fruits fewer than Xylia.

1. How many dragon fruits did Lucy buy?
2. How much did Xylia spend on the apples?

	Dragon Fruits	Apples
Number	1 u	1 u + 7
Value	0.6	0.3
Total value	0.6 u	0.3 u + 2.1

(a)
Number of dragon fruits that Lucy bought = 1 u
Number of apples that Xylia bought = 1 u + 7

Amount that Lucy paid = 0.6 x 1 u = 0.6 u
Amount that Xylia paid = 0.3(1 u + 7) = 0.3 u + 2.1

If Xylia spent another $0.30, both Xylia and Lucy would spend the same amount.

0.6 u = 0.3 u + 2.1 + 0.3
0.6 u - 0.3 u = 2.1 + 0.3
0.3 u = 2.4

1 u = 2.4 ÷ 0.3 = 8

Number of dragon fruits that Lucy bought
= 1 u
= 8

(b)
Amount that Xylia spent on the apples
= 0.3 u + 2.1
= 0.3 x 8 + 2.1
= 2.4 + 2.1
= $4.50

Answer(s): (a) 8; (b) $4.50