PSLE
A fruit stall sold peaches at 90¢ and limes at 60¢ each. Nicole bought some peaches and Xandra bought some limes from the stall. Nicole spent $1.20 more than Xandra, but had 3 fruits fewer than Xandra.

1. How many peaches did Nicole buy?
2. How much did Xandra spend on the limes?

	Peaches	Limes
Number	1 u	1 u + 3
Value	0.9	0.6
Total value	0.9 u	0.6 u + 1.8

(a)
Number of peaches that Nicole bought = 1 u
Number of limes that Xandra bought = 1 u + 3

Amount that Nicole paid = 0.9 x 1 u = 0.9 u
Amount that Xandra paid = 0.6(1 u + 3) = 0.6 u + 1.8

If Xandra spent another $1.20, both Xandra and Nicole would spend the same amount.

0.9 u = 0.6 u + 1.8 + 1.2
0.9 u - 0.6 u = 1.8 + 1.2
0.3 u = 3

1 u = 3 ÷ 0.3 = 10

Number of peaches that Nicole bought
= 1 u
= 10

(b)
Amount that Xandra spent on the limes
= 0.6 u + 1.8
= 0.6 x 10 + 1.8
= 6 + 1.8
= $7.80

Answer(s): (a) 10; (b) $7.80