PSLE
A fruit stall sold dates at 60¢ and lemons at 30¢ each. Dana bought some dates and Victoria bought some lemons from the stall. Victoria spent $2.10 less than Dana, but had 2 fruits more than Dana.

1. How many lemons did Victoria buy?
2. How much did Dana spend on the dates?

	Dates	Lemons
Number	1 u	1 u + 2
Value	0.6	0.3
Total value	0.6 u	0.3 u + 0.6

(a)
Number of dates that Dana bought = 1 u
Number of lemons that Victoria bought = 1 u + 2

Amount that Dana paid = 0.6 x 1 u = 0.6 u
Amount that Victoria paid = 0.3(1 u + 2) = 0.3 u + 0.6

If Victoria spent another $2.10, both Victoria and Dana would spend the same amount.

0.6 u = 0.3 u + 0.6 + 2.1
0.6 u - 0.3 u = 0.6 + 2.1
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of lemons that Victoria bought
= 1 u + 2
= 9 + 2
= 11

(b)
Amount that Dana spent on the dates
= 0.6 u 
= 0.6 x 9 
= $5.40

Answer(s): (a) 9; (b) $5.40