PSLE A fruit stall sold mandarin oranges at 80¢ and apples at 60¢ each. Nicole bought some mandarin oranges and Gillian bought some apples from the stall. Nicole spent $0.80 more than Gillian, but had 2 fruits fewer than Gillian.
- How many mandarin oranges did Nicole buy?
- How much did Gillian spend on the apples?
|
Mandarin Oranges |
Apples |
Number |
1 u |
1 u + 2 |
Value |
0.8 |
0.6 |
Total value |
0.8 u |
0.6 u + 1.2 |
(a)
Number of mandarin oranges that Nicole bought = 1 u
Number of apples that Gillian bought = 1 u + 2
Amount that Nicole paid = 0.8 x 1 u = 0.8 u
Amount that Gillian paid = 0.6(1 u + 2) = 0.6 u + 1.2
If Gillian spent another $0.80, both Gillian and Nicole would spend the same amount.
0.8 u = 0.6 u + 1.2 + 0.8
0.8 u - 0.6 u = 1.2 + 0.8
0.2 u = 2
1 u = 2 ÷ 0.2 = 10
Number of mandarin oranges that Nicole bought
= 1 u
= 10
(b)
Amount that Gillian spent on the apples
= 0.6 u + 1.2
= 0.6 x 10 + 1.2
= 6 + 1.2
= $7.20
Answer(s): (a) 10; (b) $7.20