PSLE
A fruit stall sold apples at 90¢ and peaches at 60¢ each. Kylie bought some apples and Rachel bought some peaches from the stall. Kylie spent $1.50 more than Rachel, but had 2 fruits fewer than Rachel.

1. How many apples did Kylie buy?
2. How much did Rachel spend on the peaches?

	Apples	Peaches
Number	1 u	1 u + 2
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.2

(a)
Number of apples that Kylie bought = 1 u
Number of peaches that Rachel bought = 1 u + 2

Amount that Kylie paid = 0.9 x 1 u = 0.9 u
Amount that Rachel paid = 0.6(1 u + 2) = 0.6 u + 1.2

If Rachel spent another $1.50, both Rachel and Kylie would spend the same amount.

0.9 u = 0.6 u + 1.2 + 1.5
0.9 u - 0.6 u = 1.2 + 1.5
0.3 u = 2.7

1 u = 2.7 ÷ 0.3 = 9

Number of apples that Kylie bought
= 1 u
= 9

(b)
Amount that Rachel spent on the peaches
= 0.6 u + 1.2
= 0.6 x 9 + 1.2
= 5.4 + 1.2
= $6.60

Answer(s): (a) 9; (b) $6.60