PSLE
A fruit stall sold mandarin oranges at 70¢ and peaches at 50¢ each. Cathy bought some mandarin oranges and Dana bought some peaches from the stall. Dana spent $0.40 less than Cathy, but had 4 fruits more than Cathy.

1. How many peaches did Dana buy?
2. How much did Cathy spend on the mandarin oranges?

	Mandarin Oranges	Peaches
Number	1 u	1 u + 4
Value	0.7	0.5
Total value	0.7 u	0.5 u + 2

(a)
Number of mandarin oranges that Cathy bought = 1 u
Number of peaches that Dana bought = 1 u + 4

Amount that Cathy paid = 0.7 x 1 u = 0.7 u
Amount that Dana paid = 0.5(1 u + 4) = 0.5 u + 2

If Dana spent another $0.40, both Dana and Cathy would spend the same amount.

0.7 u = 0.5 u + 2 + 0.4
0.7 u - 0.5 u = 2 + 0.4
0.2 u = 2.4

1 u = 2.4 ÷ 0.2 = 12

Number of peaches that Dana bought
= 1 u + 4
= 12 + 4
= 16

(b)
Amount that Cathy spent on the mandarin oranges
= 0.7 u 
= 0.7 x 12 
= $8.40

Answer(s): (a) 12; (b) $8.40