The ratio of the number of shortbreads to the number of cookies in a supermarket is 5 : 1. A shortbread costs $1.50 and a cookie costs $0.80. If all the shortbreads and cookies are sold, a sum of $83 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Cookies |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.50 |
$0.80 |
|
| Total value |
7.5 u |
0.8 u |
$83 |
Amount collected if all the shortbreads are sold
= 5 u x 1.5
= 7.5 u
Amount collected if all the cookies are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the shortbreads and cookies are sold
= 7.5 u + 0.8 u
= 8.3 u
8.3 u = 83
1 u = 83 ÷ 8.3 = 10
Total number of shortbreads
= 5 u
= 5 x 10
= 50
Answer(s): 50
