The ratio of the number of cupcakes to the number of croissants in a kiosk is 6 : 1. A cupcake costs $1.70 and a croissant costs $0.70. If all the cupcakes and croissants are sold, a sum of $436 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Croissants |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.70 |
$0.70 |
|
| Total value |
10.2 u |
0.7 u |
$436 |
Amount collected if all the cupcakes are sold
= 6 u x 1.7
= 10.2 u
Amount collected if all the croissants are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the cupcakes and croissants are sold
= 10.2 u + 0.7 u
= 10.9 u
10.9 u = 436
1 u = 436 ÷ 10.9 = 40
Total number of cupcakes
= 6 u
= 6 x 40
= 240
Answer(s): 240
