PSLE
A fruit stall sold limes at 60¢ and grapefruits at 30¢ each. Barbara bought some limes and Nora bought some grapefruits from the stall. Nora spent $0.90 less than Barbara, but had 3 fruits more than Barbara.

1. How many grapefruits did Nora buy?
2. How much did Barbara spend on the limes?

	Limes	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 limes that Barbara bought = 1 u
Number of grapefruits that Nora bought = 1 u + 3

Amount that Barbara 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 $0.90, both Nora and Barbara would spend the same amount.

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

1 u = 1.8 ÷ 0.3 = 6

Number of grapefruits that Nora bought
= 1 u + 3
= 6 + 3
= 9

(b)
Amount that Barbara spent on the limes
= 0.6 u 
= 0.6 x 6 
= $3.60

Answer(s): (a) 6; (b) $3.60