PSLE A fruit stall sold avocados at 70¢ and mandarin oranges at 40¢ each. Kathy bought some avocados and Dana bought some mandarin oranges from the stall. Kathy spent $0.80 more than Dana, but had 4 fruits fewer than Dana.
- How many avocados did Kathy buy?
- How much did Dana spend on the mandarin oranges?
|
Avocados |
Mandarin Oranges |
Number |
1 u |
1 u + 4 |
Value |
0.7 |
0.4 |
Total value |
0.7 u |
0.4 u + 1.6 |
(a)
Number of avocados that Kathy bought = 1 u
Number of mandarin oranges that Dana bought = 1 u + 4
Amount that Kathy paid = 0.7 x 1 u = 0.7 u
Amount that Dana paid = 0.4(1 u + 4) = 0.4 u + 1.6
If Dana spent another $0.80, both Dana and Kathy would spend the same amount.
0.7 u = 0.4 u + 1.6 + 0.8
0.7 u - 0.4 u = 1.6 + 0.8
0.3 u = 2.4
1 u = 2.4 ÷ 0.3 = 8
Number of avocados that Kathy bought
= 1 u
= 8
(b)
Amount that Dana spent on the mandarin oranges
= 0.4 u + 1.6
= 0.4 x 8 + 1.6
= 3.2 + 1.6
= $4.80
Answer(s): (a) 8; (b) $4.80