PSLE
A fruit stall sold mandarin oranges at 60¢ and grapefruits at 30¢ each. Joelle bought some mandarin oranges and Nora bought some grapefruits from the stall. Joelle spent $2.40 more than Nora, but had 3 fruits fewer than Nora.

1. How many mandarin oranges did Joelle buy?
2. How much did Nora spend on the grapefruits?

	Mandarin Oranges	Grapefruits
Number	1 u	1 u + 3
Value	0.6	0.3
Total value	0.6 u	0.3 u + 0.9

(a)
Number of mandarin oranges that Joelle bought = 1 u
Number of grapefruits that Nora bought = 1 u + 3

Amount that Joelle paid = 0.6 x 1 u = 0.6 u
Amount that Nora paid = 0.3(1 u + 3) = 0.3 u + 0.9

If Nora spent another $2.40, both Nora and Joelle would spend the same amount.

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

1 u = 3.3 ÷ 0.3 = 11

Number of mandarin oranges that Joelle bought
= 1 u
= 11

(b)
Amount that Nora spent on the grapefruits
= 0.3 u + 0.9
= 0.3 x 11 + 0.9
= 3.3 + 0.9
= $4.20

Answer(s): (a) 11; (b) $4.20