The ratio of the number of cupcakes to the number of scones in a stall is 4 : 1. A cupcake costs $1.10 and a scone costs $0.70. If all the cupcakes and scones are sold, a sum of $102 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Scones |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.10 |
$0.70 |
|
| Total value |
4.4 u |
0.7 u |
$102 |
Amount collected if all the cupcakes are sold
= 4 u x 1.1
= 4.4 u
Amount collected if all the scones are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the cupcakes and scones are sold
= 4.4 u + 0.7 u
= 5.1 u
5.1 u = 102
1 u = 102 ÷ 5.1 = 20
Total number of cupcakes
= 4 u
= 4 x 20
= 80
Answer(s): 80
