The ratio of the number of tarts to the number of cupcakes in a kiosk is 4 : 1. A tart costs $1.90 and a cupcake costs $0.50. If all the tarts and cupcakes are sold, a sum of $243 will be collected. How many tarts are there altogether?
| |
Tarts |
Cupcakes |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.90 |
$0.50 |
|
| Total value |
7.6 u |
0.5 u |
$243 |
Amount collected if all the tarts are sold
= 4 u x 1.9
= 7.6 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and cupcakes are sold
= 7.6 u + 0.5 u
= 8.1 u
8.1 u = 243
1 u = 243 ÷ 8.1 = 30
Total number of tarts
= 4 u
= 4 x 30
= 120
Answer(s): 120
