PSLE
A fruit stall sold dragon fruits at 70¢ and grapefruits at 40¢ each. Roshel bought some dragon fruits and Pamela bought some grapefruits from the stall. Roshel spent $1.20 more than Pamela, but had 6 fruits fewer than Pamela.

1. How many dragon fruits did Roshel buy?
2. How much did Pamela spend on the grapefruits?

	Dragon Fruits	Grapefruits
Number	1 u	1 u + 6
Value	0.7	0.4
Total value	0.7 u	0.4 u + 2.4

(a)
Number of dragon fruits that Roshel bought = 1 u
Number of grapefruits that Pamela bought = 1 u + 6

Amount that Roshel paid = 0.7 x 1 u = 0.7 u
Amount that Pamela paid = 0.4(1 u + 6) = 0.4 u + 2.4

If Pamela spent another $1.20, both Pamela and Roshel would spend the same amount.

0.7 u = 0.4 u + 2.4 + 1.2
0.7 u - 0.4 u = 2.4 + 1.2
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of dragon fruits that Roshel bought
= 1 u
= 12

(b)
Amount that Pamela spent on the grapefruits
= 0.4 u + 2.4
= 0.4 x 12 + 2.4
= 4.8 + 2.4
= $7.20

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