The ratio of the number of cookies to the number of shortbreads in a kiosk is 6 : 1. A cookie costs $1.40 and a shortbread costs $0.40. If all the cookies and shortbreads are sold, a sum of $176 will be collected. How many cookies are there altogether?
| |
Cookies |
Shortbreads |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.40 |
$0.40 |
|
| Total value |
8.4 u |
0.4 u |
$176 |
Amount collected if all the cookies are sold
= 6 u x 1.4
= 8.4 u
Amount collected if all the shortbreads are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the cookies and shortbreads are sold
= 8.4 u + 0.4 u
= 8.8 u
8.8 u = 176
1 u = 176 ÷ 8.8 = 20
Total number of cookies
= 6 u
= 6 x 20
= 120
Answer(s): 120
