PSLE A fruit stall sold limes at 80¢ and mandarin oranges at 60¢ each. Irene bought some limes and Julie bought some mandarin oranges from the stall. Irene spent $0.40 more than Julie, but had 3 fruits fewer than Julie.
- How many limes did Irene buy?
- How much did Julie spend on the mandarin oranges?
|
Limes |
Mandarin Oranges |
Number |
1 u |
1 u + 3 |
Value |
0.8 |
0.6 |
Total value |
0.8 u |
0.6 u + 1.8 |
(a)
Number of limes that Irene bought = 1 u
Number of mandarin oranges that Julie bought = 1 u + 3
Amount that Irene paid = 0.8 x 1 u = 0.8 u
Amount that Julie paid = 0.6(1 u + 3) = 0.6 u + 1.8
If Julie spent another $0.40, both Julie and Irene would spend the same amount.
0.8 u = 0.6 u + 1.8 + 0.4
0.8 u - 0.6 u = 1.8 + 0.4
0.2 u = 2.2
1 u = 2.2 ÷ 0.2 = 11
Number of limes that Irene bought
= 1 u
= 11
(b)
Amount that Julie spent on the mandarin oranges
= 0.6 u + 1.8
= 0.6 x 11 + 1.8
= 6.6 + 1.8
= $8.40
Answer(s): (a) 11; (b) $8.40