The ratio of the number of tarts to the number of scones in a shop is 6 : 1. A tart costs $1.30 and a scone costs $0.40. If all the tarts and scones are sold, a sum of $164 will be collected. How many tarts are there altogether?
| |
Tarts |
Scones |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.30 |
$0.40 |
|
| Total value |
7.8 u |
0.4 u |
$164 |
Amount collected if all the tarts are sold
= 6 u x 1.3
= 7.8 u
Amount collected if all the scones are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the tarts and scones are sold
= 7.8 u + 0.4 u
= 8.2 u
8.2 u = 164
1 u = 164 ÷ 8.2 = 20
Total number of tarts
= 6 u
= 6 x 20
= 120
Answer(s): 120
