PSLE
A fruit stall sold apples at 60¢ and papayas at 30¢ each. Lucy bought some apples and Victoria bought some papayas from the stall. Victoria spent $1.50 less than Lucy, but had 6 fruits more than Lucy.

1. How many papayas did Victoria buy?
2. How much did Lucy spend on the apples?

	Apples	Papayas
Number	1 u	1 u + 6
Value	0.6	0.3
Total value	0.6 u	0.3 u + 1.8

(a)
Number of apples that Lucy bought = 1 u
Number of papayas that Victoria bought = 1 u + 6

Amount that Lucy paid = 0.6 x 1 u = 0.6 u
Amount that Victoria paid = 0.3(1 u + 6) = 0.3 u + 1.8

If Victoria spent another $1.50, both Victoria and Lucy would spend the same amount.

0.6 u = 0.3 u + 1.8 + 1.5
0.6 u - 0.3 u = 1.8 + 1.5
0.3 u = 3.3

1 u = 3.3 ÷ 0.3 = 11

Number of papayas that Victoria bought
= 1 u + 6
= 11 + 6
= 17

(b)
Amount that Lucy spent on the apples
= 0.6 u 
= 0.6 x 11 
= $6.60

Answer(s): (a) 11; (b) $6.60