The ratio of the number of cookies to the number of cupcakes in a shop is 3 : 1. A cookie costs $1.20 and a cupcake costs $0.80. If all the cookies and cupcakes are sold, a sum of $44 will be collected. How many cookies are there altogether?
| |
Cookies |
Cupcakes |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.20 |
$0.80 |
|
| Total value |
3.6 u |
0.8 u |
$44 |
Amount collected if all the cookies are sold
= 3 u x 1.2
= 3.6 u
Amount collected if all the cupcakes are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cookies and cupcakes are sold
= 3.6 u + 0.8 u
= 4.4 u
4.4 u = 44
1 u = 44 ÷ 4.4 = 10
Total number of cookies
= 3 u
= 3 x 10
= 30
Answer(s): 30
