The ratio of the number of cupcakes to the number of scones in a kiosk is 5 : 1. A cupcake costs $1.40 and a scone costs $0.50. If all the cupcakes and scones are sold, a sum of $225 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Scones |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.40 |
$0.50 |
|
| Total value |
7 u |
0.5 u |
$225 |
Amount collected if all the cupcakes are sold
= 5 u x 1.4
= 7 u
Amount collected if all the scones are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the cupcakes and scones are sold
= 7 u + 0.5 u
= 7.5 u
7.5 u = 225
1 u = 225 ÷ 7.5 = 30
Total number of cupcakes
= 5 u
= 5 x 30
= 150
Answer(s): 150
