PSLE
A fruit stall sold dates at 60¢ and oranges at 30¢ each. Olivia bought some dates and Gillian bought some oranges from the stall. Gillian spent $0.30 less than Olivia, but had 5 fruits more than Olivia.

1. How many oranges did Gillian buy?
2. How much did Olivia spend on the dates?

	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 Olivia bought = 1 u
Number of oranges that Gillian bought = 1 u + 5

Amount that Olivia paid = 0.6 x 1 u = 0.6 u
Amount that Gillian paid = 0.3(1 u + 5) = 0.3 u + 1.5

If Gillian spent another $0.30, both Gillian and Olivia would spend the same amount.

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

1 u = 1.8 ÷ 0.3 = 6

Number of oranges that Gillian bought
= 1 u + 5
= 6 + 5
= 11

(b)
Amount that Olivia spent on the dates
= 0.6 u 
= 0.6 x 6 
= $3.60

Answer(s): (a) 6; (b) $3.60