PSLE
A fruit stall sold pomegranates at 60¢ and dates at 30¢ each. Nora bought some pomegranates and Tina bought some dates from the stall. Nora spent $0.30 more than Tina, but had 7 fruits fewer than Tina.

1. How many pomegranates did Nora buy?
2. How much did Tina spend on the dates?

	Pomegranates	Dates
Number	1 u	1 u + 7
Value	0.6	0.3
Total value	0.6 u	0.3 u + 2.1

(a)
Number of pomegranates that Nora bought = 1 u
Number of dates that Tina bought = 1 u + 7

Amount that Nora paid = 0.6 x 1 u = 0.6 u
Amount that Tina paid = 0.3(1 u + 7) = 0.3 u + 2.1

If Tina spent another $0.30, both Tina and Nora would spend the same amount.

0.6 u = 0.3 u + 2.1 + 0.3
0.6 u - 0.3 u = 2.1 + 0.3
0.3 u = 2.4

1 u = 2.4 ÷ 0.3 = 8

Number of pomegranates that Nora bought
= 1 u
= 8

(b)
Amount that Tina spent on the dates
= 0.3 u + 2.1
= 0.3 x 8 + 2.1
= 2.4 + 2.1
= $4.50

Answer(s): (a) 8; (b) $4.50