PSLE
A fruit stall sold lemons at 70¢ and mandarin oranges at 40¢ each. Olivia bought some lemons and Jean bought some mandarin oranges from the stall. Olivia spent $2.20 more than Jean, but had 2 fruits fewer than Jean.

1. How many lemons did Olivia buy?
2. How much did Jean spend on the mandarin oranges?

	Lemons	Mandarin Oranges
Number	1 u	1 u + 2
Value	0.7	0.4
Total value	0.7 u	0.4 u + 0.8

(a)
Number of lemons that Olivia bought = 1 u
Number of mandarin oranges that Jean bought = 1 u + 2

Amount that Olivia paid = 0.7 x 1 u = 0.7 u
Amount that Jean paid = 0.4(1 u + 2) = 0.4 u + 0.8

If Jean spent another $2.20, both Jean and Olivia would spend the same amount.

0.7 u = 0.4 u + 0.8 + 2.2
0.7 u - 0.4 u = 0.8 + 2.2
0.3 u = 3

1 u = 3 ÷ 0.3 = 10

Number of lemons that Olivia bought
= 1 u
= 10

(b)
Amount that Jean spent on the mandarin oranges
= 0.4 u + 0.8
= 0.4 x 10 + 0.8
= 4 + 0.8
= $4.80

Answer(s): (a) 10; (b) $4.80