PSLE
A fruit stall sold pears at 90¢ and grapefruits at 60¢ each. Zara bought some pears and Rachel bought some grapefruits from the stall. Rachel spent $1.80 less than Zara, but had 3 fruits more than Zara.

1. How many grapefruits did Rachel buy?
2. How much did Zara spend on the pears?

	Pears	Grapefruits
Number	1 u	1 u + 3
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.8

(a)
Number of pears that Zara bought = 1 u
Number of grapefruits that Rachel bought = 1 u + 3

Amount that Zara paid = 0.9 x 1 u = 0.9 u
Amount that Rachel paid = 0.6(1 u + 3) = 0.6 u + 1.8

If Rachel spent another $1.80, both Rachel and Zara would spend the same amount.

0.9 u = 0.6 u + 1.8 + 1.8
0.9 u - 0.6 u = 1.8 + 1.8
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of grapefruits that Rachel bought
= 1 u + 3
= 12 + 3
= 15

(b)
Amount that Zara spent on the pears
= 0.9 u 
= 0.9 x 12 
= $10.80

Answer(s): (a) 12; (b) $10.80