PSLE
A fruit stall sold pomegranates at 60¢ and pears at 40¢ each. Vanessa bought some pomegranates and Kathy bought some pears from the stall. Kathy spent $1.60 less than Vanessa, but had 2 fruits more than Vanessa.

1. How many pears did Kathy buy?
2. How much did Vanessa spend on the pomegranates?

	Pomegranates	Pears
Number	1 u	1 u + 2
Value	0.6	0.4
Total value	0.6 u	0.4 u + 0.8

(a)
Number of pomegranates that Vanessa bought = 1 u
Number of pears that Kathy bought = 1 u + 2

Amount that Vanessa paid = 0.6 x 1 u = 0.6 u
Amount that Kathy paid = 0.4(1 u + 2) = 0.4 u + 0.8

If Kathy spent another $1.60, both Kathy and Vanessa would spend the same amount.

0.6 u = 0.4 u + 0.8 + 1.6
0.6 u - 0.4 u = 0.8 + 1.6
0.2 u = 2.4

1 u = 2.4 ÷ 0.2 = 12

Number of pears that Kathy bought
= 1 u + 2
= 12 + 2
= 14

(b)
Amount that Vanessa spent on the pomegranates
= 0.6 u 
= 0.6 x 12 
= $7.20

Answer(s): (a) 12; (b) $7.20