The ratio of the number of scones to the number of tarts in a shop is 4 : 1. A scone costs $1.10 and a tart costs $0.50. If all the scones and tarts are sold, a sum of $49 will be collected. How many scones are there altogether?
| |
Scones |
Tarts |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.10 |
$0.50 |
|
| Total value |
4.4 u |
0.5 u |
$49 |
Amount collected if all the scones are sold
= 4 u x 1.1
= 4.4 u
Amount collected if all the tarts are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the scones and tarts are sold
= 4.4 u + 0.5 u
= 4.9 u
4.9 u = 49
1 u = 49 ÷ 4.9 = 10
Total number of scones
= 4 u
= 4 x 10
= 40
Answer(s): 40
