PSLE A fruit stall sold dragon fruits at 80¢ and tomatoes at 50¢ each. Dana bought some dragon fruits and Shannon bought some tomatoes from the stall. Shannon spent $0.20 less than Dana, but had 5 fruits more than Dana.
- How many tomatoes did Shannon buy?
- How much did Dana spend on the dragon fruits?
|
Dragon Fruits |
Tomatoes |
Number |
1 u |
1 u + 5 |
Value |
0.8 |
0.5 |
Total value |
0.8 u |
0.5 u + 2.5 |
(a)
Number of dragon fruits that Dana bought = 1 u
Number of tomatoes that Shannon bought = 1 u + 5
Amount that Dana paid = 0.8 x 1 u = 0.8 u
Amount that Shannon paid = 0.5(1 u + 5) = 0.5 u + 2.5
If Shannon spent another $0.20, both Shannon and Dana would spend the same amount.
0.8 u = 0.5 u + 2.5 + 0.2
0.8 u - 0.5 u = 2.5 + 0.2
0.3 u = 2.7
1 u = 2.7 ÷ 0.3 = 9
Number of tomatoes that Shannon bought
= 1 u + 5
= 9 + 5
= 14
(b)
Amount that Dana spent on the dragon fruits
= 0.8 u
= 0.8 x 9
= $7.20
Answer(s): (a) 9; (b) $7.20