PSLE
A fruit stall sold dragon fruits at 60¢ and plums at 30¢ each. Sarah bought some dragon fruits and Fanny bought some plums from the stall. Sarah spent $0.90 more than Fanny, but had 9 fruits fewer than Fanny.

1. How many dragon fruits did Sarah buy?
2. How much did Fanny spend on the plums?

	Dragon Fruits	Plums
Number	1 u	1 u + 9
Value	0.6	0.3
Total value	0.6 u	0.3 u + 2.7

(a)
Number of dragon fruits that Sarah bought = 1 u
Number of plums that Fanny bought = 1 u + 9

Amount that Sarah paid = 0.6 x 1 u = 0.6 u
Amount that Fanny paid = 0.3(1 u + 9) = 0.3 u + 2.7

If Fanny spent another $0.90, both Fanny and Sarah would spend the same amount.

0.6 u = 0.3 u + 2.7 + 0.9
0.6 u - 0.3 u = 2.7 + 0.9
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

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

(b)
Amount that Fanny spent on the plums
= 0.3 u + 2.7
= 0.3 x 12 + 2.7
= 3.6 + 2.7
= $6.30

Answer(s): (a) 12; (b) $6.30