PSLE
A fruit stall sold grapefruits at 60¢ and pomegranates at 40¢ each. Sabrina bought some grapefruits and Yen bought some pomegranates from the stall. Yen spent $0.20 less than Sabrina, but had 5 fruits more than Sabrina.

1. How many pomegranates did Yen buy?
2. How much did Sabrina spend on the grapefruits?

	Grapefruits	Pomegranates
Number	1 u	1 u + 5
Value	0.6	0.4
Total value	0.6 u	0.4 u + 2

(a)
Number of grapefruits that Sabrina bought = 1 u
Number of pomegranates that Yen bought = 1 u + 5

Amount that Sabrina paid = 0.6 x 1 u = 0.6 u
Amount that Yen paid = 0.4(1 u + 5) = 0.4 u + 2

If Yen spent another $0.20, both Yen and Sabrina would spend the same amount.

0.6 u = 0.4 u + 2 + 0.2
0.6 u - 0.4 u = 2 + 0.2
0.2 u = 2.2

1 u = 2.2 ÷ 0.2 = 11

Number of pomegranates that Yen bought
= 1 u + 5
= 11 + 5
= 16

(b)
Amount that Sabrina spent on the grapefruits
= 0.6 u 
= 0.6 x 11 
= $6.60

Answer(s): (a) 11; (b) $6.60