The ratio of the number of cupcakes to the number of tarts in a supermarket is 4 : 1. A cupcake costs $1.40 and a tart costs $0.60. If all the cupcakes and tarts are sold, a sum of $186 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Tarts |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.40 |
$0.60 |
|
| Total value |
5.6 u |
0.6 u |
$186 |
Amount collected if all the cupcakes are sold
= 4 u x 1.4
= 5.6 u
Amount collected if all the tarts are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the cupcakes and tarts are sold
= 5.6 u + 0.6 u
= 6.2 u
6.2 u = 186
1 u = 186 ÷ 6.2 = 30
Total number of cupcakes
= 4 u
= 4 x 30
= 120
Answer(s): 120
