The ratio of the number of cupcakes to the number of cookies in a kiosk is 4 : 1. A cupcake costs $1.90 and a cookie costs $0.60. If all the cupcakes and cookies are sold, a sum of $246 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Cookies |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.90 |
$0.60 |
|
| Total value |
7.6 u |
0.6 u |
$246 |
Amount collected if all the cupcakes are sold
= 4 u x 1.9
= 7.6 u
Amount collected if all the cookies are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the cupcakes and cookies are sold
= 7.6 u + 0.6 u
= 8.2 u
8.2 u = 246
1 u = 246 ÷ 8.2 = 30
Total number of cupcakes
= 4 u
= 4 x 30
= 120
Answer(s): 120
