PSLE
A fruit stall sold tomatoes at 60¢ and grapefruits at 30¢ each. Roshel bought some tomatoes and Emma bought some grapefruits from the stall. Emma spent $1.80 less than Roshel, but had 6 fruits more than Roshel.

1. How many grapefruits did Emma buy?
2. How much did Roshel spend on the tomatoes?

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

(a)
Number of tomatoes that Roshel bought = 1 u
Number of grapefruits that Emma bought = 1 u + 6

Amount that Roshel paid = 0.6 x 1 u = 0.6 u
Amount that Emma paid = 0.3(1 u + 6) = 0.3 u + 1.8

If Emma spent another $1.80, both Emma and Roshel would spend the same amount.

0.6 u = 0.3 u + 1.8 + 1.8
0.6 u - 0.3 u = 1.8 + 1.8
0.3 u = 3.6

1 u = 3.6 ÷ 0.3 = 12

Number of grapefruits that Emma bought
= 1 u + 6
= 12 + 6
= 18

(b)
Amount that Roshel spent on the tomatoes
= 0.6 u 
= 0.6 x 12 
= $7.20

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