The ratio of the number of shortbreads to the number of cookies in a supermarket is 5 : 1. A shortbread costs $1.60 and a cookie costs $0.40. If all the shortbreads and cookies are sold, a sum of $336 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Cookies |
Total |
Number |
5 u |
1 u |
|
Value |
$1.60 |
$0.40 |
|
Total value |
8 u |
0.4 u |
$336 |
Amount collected if all the shortbreads are sold
= 5 u x 1.6
= 8 u
Amount collected if all the cookies are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the shortbreads and cookies are sold
= 8 u + 0.4 u
= 8.4 u
8.4 u = 336
1 u = 336 ÷ 8.4 = 40
Total number of shortbreads
= 5 u
= 5 x 40
= 200
Answer(s): 200