The ratio of the number of scones to the number of tarts in a kiosk is 2 : 1. A scone costs $1.50 and a tart costs $0.40. If all the scones and tarts are sold, a sum of $68 will be collected. How many scones are there altogether?
| |
Scones |
Tarts |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.50 |
$0.40 |
|
| Total value |
3 u |
0.4 u |
$68 |
Amount collected if all the scones are sold
= 2 u x 1.5
= 3 u
Amount collected if all the tarts are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the scones and tarts are sold
= 3 u + 0.4 u
= 3.4 u
3.4 u = 68
1 u = 68 ÷ 3.4 = 20
Total number of scones
= 2 u
= 2 x 20
= 40
Answer(s): 40
