PSLE A fruit stall sold lemons at 70¢ and mandarin oranges at 40¢ each. Julie bought some lemons and Dana bought some mandarin oranges from the stall. Julie spent $2.10 more than Dana, but had 3 fruits fewer than Dana.
- How many lemons did Julie buy?
- How much did Dana spend on the mandarin oranges?
|
Lemons |
Mandarin Oranges |
Number |
1 u |
1 u + 3 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.2 |
(a)
Number of lemons that Julie bought = 1 u
Number of mandarin oranges that Dana bought = 1 u + 3
Amount that Julie paid = 0.7 x 1 u = 0.7 u
Amount that Dana paid = 0.4(1 u + 3) = 0.4 u + 1.2
If Dana spent another $2.10, both Dana and Julie would spend the same amount.
0.7 u = 0.4 u + 1.2 + 2.1
0.7 u - 0.4 u = 1.2 + 2.1
0.3 u = 3.3
1 u = 3.3 ÷ 0.3 = 11
Number of lemons that Julie bought
= 1 u
= 11
(b)
Amount that Dana spent on the mandarin oranges
= 0.4 u + 1.2
= 0.4 x 11 + 1.2
= 4.4 + 1.2
= $5.60
Answer(s): (a) 11; (b) $5.60