PSLE
A fruit stall sold pomegranates at 60¢ and tomatoes at 30¢ each. Winnie bought some pomegranates and Fanny bought some tomatoes from the stall. Winnie spent $0.90 more than Fanny, but had 6 fruits fewer than Fanny.

1. How many pomegranates did Winnie buy?
2. How much did Fanny spend on the tomatoes?

	Pomegranates	Tomatoes
Number	1 u	1 u + 6
Value	0.6	0.3
Total value	0.6 u	0.3 u + 1.8

(a)
Number of pomegranates that Winnie bought = 1 u
Number of tomatoes that Fanny bought = 1 u + 6

Amount that Winnie paid = 0.6 x 1 u = 0.6 u
Amount that Fanny paid = 0.3(1 u + 6) = 0.3 u + 1.8

If Fanny spent another $0.90, both Fanny and Winnie would spend the same amount.

0.6 u = 0.3 u + 1.8 + 0.9
0.6 u - 0.3 u = 1.8 + 0.9
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of pomegranates that Winnie bought
= 1 u
= 9

(b)
Amount that Fanny spent on the tomatoes
= 0.3 u + 1.8
= 0.3 x 9 + 1.8
= 2.7 + 1.8
= $4.50

Answer(s): (a) 9; (b) $4.50