PSLE
A fruit stall sold peaches at 60¢ and apricots at 30¢ each. Olivia bought some peaches and Hazel bought some apricots from the stall. Olivia spent $1.80 more than Hazel, but had 3 fruits fewer than Hazel.

1. How many peaches did Olivia buy?
2. How much did Hazel spend on the apricots?

	Peaches	Apricots
Number	1 u	1 u + 3
Value	0.6	0.3
Total value	0.6 u	0.3 u + 0.9

(a)
Number of peaches that Olivia bought = 1 u
Number of apricots that Hazel bought = 1 u + 3

Amount that Olivia paid = 0.6 x 1 u = 0.6 u
Amount that Hazel paid = 0.3(1 u + 3) = 0.3 u + 0.9

If Hazel spent another $1.80, both Hazel and Olivia would spend the same amount.

0.6 u = 0.3 u + 0.9 + 1.8
0.6 u - 0.3 u = 0.9 + 1.8
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of peaches that Olivia bought
= 1 u
= 9

(b)
Amount that Hazel spent on the apricots
= 0.3 u + 0.9
= 0.3 x 9 + 0.9
= 2.7 + 0.9
= $3.60

Answer(s): (a) 9; (b) $3.60