PSLE
A fruit stall sold dates at 60¢ and oranges at 30¢ each. Cindy bought some dates and Abi bought some oranges from the stall. Cindy spent $1.80 more than Abi, but had 5 fruits fewer than Abi.

1. How many dates did Cindy buy?
2. How much did Abi spend on the oranges?

	Dates	Oranges
Number	1 u	1 u + 5
Value	0.6	0.3
Total value	0.6 u	0.3 u + 1.5

(a)
Number of dates that Cindy bought = 1 u
Number of oranges that Abi bought = 1 u + 5

Amount that Cindy paid = 0.6 x 1 u = 0.6 u
Amount that Abi paid = 0.3(1 u + 5) = 0.3 u + 1.5

If Abi spent another $1.80, both Abi and Cindy would spend the same amount.

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

1 u = 3.3 ÷ 0.3 = 11

Number of dates that Cindy bought
= 1 u
= 11

(b)
Amount that Abi spent on the oranges
= 0.3 u + 1.5
= 0.3 x 11 + 1.5
= 3.3 + 1.5
= $4.80

Answer(s): (a) 11; (b) $4.80