PSLE
A fruit stall sold mangosteens at 70¢ and lemons at 50¢ each. Victoria bought some mangosteens and Tammy bought some lemons from the stall. Victoria spent $0.50 more than Tammy, but had 3 fruits fewer than Tammy.

1. How many mangosteens did Victoria buy?
2. How much did Tammy spend on the lemons?

	Mangosteens	Lemons
Number	1 u	1 u + 3
Value	0.7	0.5
Total value	0.7 u	0.5 u + 1.5

(a)
Number of mangosteens that Victoria bought = 1 u
Number of lemons that Tammy bought = 1 u + 3

Amount that Victoria paid = 0.7 x 1 u = 0.7 u
Amount that Tammy paid = 0.5(1 u + 3) = 0.5 u + 1.5

If Tammy spent another $0.50, both Tammy and Victoria would spend the same amount.

0.7 u = 0.5 u + 1.5 + 0.5
0.7 u - 0.5 u = 1.5 + 0.5
0.2 u = 2

1 u = 2 ÷ 0.2 = 10

Number of mangosteens that Victoria bought
= 1 u
= 10

(b)
Amount that Tammy spent on the lemons
= 0.5 u + 1.5
= 0.5 x 10 + 1.5
= 5 + 1.5
= $6.50

Answer(s): (a) 10; (b) $6.50