PSLE
A fruit stall sold pears at 60¢ and lemons at 30¢ each. Fiona bought some pears and Gem bought some lemons from the stall. Fiona spent $0.30 more than Gem, but had 5 fruits fewer than Gem.

1. How many pears did Fiona buy?
2. How much did Gem spend on the lemons?

	Pears	Lemons
Number	1 u	1 u + 5
Value	0.6	0.3
Total value	0.6 u	0.3 u + 1.5

(a)
Number of pears that Fiona bought = 1 u
Number of lemons that Gem bought = 1 u + 5

Amount that Fiona paid = 0.6 x 1 u = 0.6 u
Amount that Gem paid = 0.3(1 u + 5) = 0.3 u + 1.5

If Gem spent another $0.30, both Gem and Fiona would spend the same amount.

0.6 u = 0.3 u + 1.5 + 0.3
0.6 u - 0.3 u = 1.5 + 0.3
0.3 u = 1.8

1 u = 1.8 ÷ 0.3 = 6

Number of pears that Fiona bought
= 1 u
= 6

(b)
Amount that Gem spent on the lemons
= 0.3 u + 1.5
= 0.3 x 6 + 1.5
= 1.8 + 1.5
= $3.30

Answer(s): (a) 6; (b) $3.30