The ratio of the number of tarts to the number of scones in a stall is 6 : 1. A tart costs $1.60 and a scone costs $0.50. If all the tarts and scones are sold, a sum of $404 will be collected. How many tarts are there altogether?
| |
Tarts |
Scones |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.60 |
$0.50 |
|
| Total value |
9.6 u |
0.5 u |
$404 |
Amount collected if all the tarts are sold
= 6 u x 1.6
= 9.6 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
= 9.6 u + 0.5 u
= 10.1 u
10.1 u = 404
1 u = 404 ÷ 10.1 = 40
Total number of tarts
= 6 u
= 6 x 40
= 240
Answer(s): 240
