The ratio of the number of cookies to the number of croissants in a kiosk is 3 : 1. A cookie costs $1.50 and a croissant costs $0.80. If all the cookies and croissants are sold, a sum of $106 will be collected. How many cookies are there altogether?
|
Cookies |
Croissants |
Total |
Number |
3 u |
1 u |
|
Value |
$1.50 |
$0.80 |
|
Total value |
4.5 u |
0.8 u |
$106 |
Amount collected if all the cookies are sold
= 3 u x 1.5
= 4.5 u
Amount collected if all the croissants are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cookies and croissants are sold
= 4.5 u + 0.8 u
= 5.3 u
5.3 u = 106
1 u = 106 ÷ 5.3 = 20
Total number of cookies
= 3 u
= 3 x 20
= 60
Answer(s): 60