The ratio of the number of cupcakes to the number of scones in a supermarket is 5 : 1. A cupcake costs $1.80 and a scone costs $0.70. If all the cupcakes and scones are sold, a sum of $291 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Scones |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.80 |
$0.70 |
|
| Total value |
9 u |
0.7 u |
$291 |
Amount collected if all the cupcakes are sold
= 5 u x 1.8
= 9 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
= 9 u + 0.7 u
= 9.7 u
9.7 u = 291
1 u = 291 ÷ 9.7 = 30
Total number of cupcakes
= 5 u
= 5 x 30
= 150
Answer(s): 150
