PSLE
A fruit stall sold plums at 60¢ and apples at 30¢ each. Gem bought some plums and Fanny bought some apples from the stall. Gem spent $0.90 more than Fanny, but had 8 fruits fewer than Fanny.

1. How many plums did Gem buy?
2. How much did Fanny spend on the apples?

	Plums	Apples
Number	1 u	1 u + 8
Value	0.6	0.3
Total value	0.6 u	0.3 u + 2.4

(a)
Number of plums that Gem bought = 1 u
Number of apples that Fanny bought = 1 u + 8

Amount that Gem paid = 0.6 x 1 u = 0.6 u
Amount that Fanny paid = 0.3(1 u + 8) = 0.3 u + 2.4

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

0.6 u = 0.3 u + 2.4 + 0.9
0.6 u - 0.3 u = 2.4 + 0.9
0.3 u = 3.3

1 u = 3.3 ÷ 0.3 = 11

Number of plums that Gem bought
= 1 u
= 11

(b)
Amount that Fanny spent on the apples
= 0.3 u + 2.4
= 0.3 x 11 + 2.4
= 3.3 + 2.4
= $5.70

Answer(s): (a) 11; (b) $5.70