PSLE
A fruit stall sold dates at 90¢ and mangosteens at 60¢ each. Tiffany bought some dates and Erika bought some mangosteens from the stall. Tiffany spent $0.90 more than Erika, but had 3 fruits fewer than Erika.

1. How many dates did Tiffany buy?
2. How much did Erika spend on the mangosteens?

	Dates	Mangosteens
Number	1 u	1 u + 3
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.8

(a)
Number of dates that Tiffany bought = 1 u
Number of mangosteens that Erika bought = 1 u + 3

Amount that Tiffany paid = 0.9 x 1 u = 0.9 u
Amount that Erika paid = 0.6(1 u + 3) = 0.6 u + 1.8

If Erika spent another $0.90, both Erika and Tiffany would spend the same amount.

0.9 u = 0.6 u + 1.8 + 0.9
0.9 u - 0.6 u = 1.8 + 0.9
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of dates that Tiffany bought
= 1 u
= 9

(b)
Amount that Erika spent on the mangosteens
= 0.6 u + 1.8
= 0.6 x 9 + 1.8
= 5.4 + 1.8
= $7.20

Answer(s): (a) 9; (b) $7.20