The ratio of the number of tarts to the number of scones in a stall is 2 : 1. A tart costs $1.50 and a scone costs $0.50. If all the tarts and scones are sold, a sum of $105 will be collected. How many tarts are there altogether?
| |
Tarts |
Scones |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.50 |
$0.50 |
|
| Total value |
3 u |
0.5 u |
$105 |
Amount collected if all the tarts are sold
= 2 u x 1.5
= 3 u
Amount collected if all the scones are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and scones are sold
= 3 u + 0.5 u
= 3.5 u
3.5 u = 105
1 u = 105 ÷ 3.5 = 30
Total number of tarts
= 2 u
= 2 x 30
= 60
Answer(s): 60
