PSLE
A fruit stall sold dates at 60¢ and apricots at 30¢ each. Nicole bought some dates and Victoria bought some apricots from the stall. Nicole spent $1.80 more than Victoria, but had 6 fruits fewer than Victoria.

1. How many dates did Nicole buy?
2. How much did Victoria spend on the apricots?

	Dates	Apricots
Number	1 u	1 u + 6
Value	0.6	0.3
Total value	0.6 u	0.3 u + 1.8

(a)
Number of dates that Nicole bought = 1 u
Number of apricots that Victoria bought = 1 u + 6

Amount that Nicole 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 $1.80, both Victoria and Nicole 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 dates that Nicole bought
= 1 u
= 12

(b)
Amount that Victoria spent on the apricots
= 0.3 u + 1.8
= 0.3 x 12 + 1.8
= 3.6 + 1.8
= $5.40

Answer(s): (a) 12; (b) $5.40