PSLE
A fruit stall sold pomegranates at 60¢ and tomatoes at 30¢ each. Diana bought some pomegranates and Zara bought some tomatoes from the stall. Diana spent $1.50 more than Zara, but had 7 fruits fewer than Zara.

1. How many pomegranates did Diana buy?
2. How much did Zara spend on the tomatoes?

	Pomegranates	Tomatoes
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 Diana bought = 1 u
Number of tomatoes that Zara bought = 1 u + 7

Amount that Diana paid = 0.6 x 1 u = 0.6 u
Amount that Zara paid = 0.3(1 u + 7) = 0.3 u + 2.1

If Zara spent another $1.50, both Zara and Diana would spend the same amount.

0.6 u = 0.3 u + 2.1 + 1.5
0.6 u - 0.3 u = 2.1 + 1.5
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of pomegranates that Diana bought
= 1 u
= 12

(b)
Amount that Zara spent on the tomatoes
= 0.3 u + 2.1
= 0.3 x 12 + 2.1
= 3.6 + 2.1
= $5.70

Answer(s): (a) 12; (b) $5.70