SOLUTION: Harveys expresso express, a drive through coffee stop, is famous for its great house coffee, a blend of colombian and Mocha Java.Their arch rival jojo's java sent a spy to steal th

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Question 394150: Harveys expresso express, a drive through coffee stop, is famous for its great house coffee, a blend of colombian and Mocha Java.Their arch rival jojo's java sent a spy to steal their ratio for blending beans . the spy return with a torn part of their old receipt that showed only the total number of pounds and thetotal cost, 18 pounds for $92.07. At first jojo was angry but then he relized that he knew the price per pound of each kind of coffee($4.89 for columbian and $5.43 for Mocha Java). Show how he could use equatoins to figure out how many pounds of each type of beans Harvey's used.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the total number of pounds and the total cost, 18 pounds for $92.07.
the price per pound of each kind of coffee($4.89 for columbian and $5.43 for Mocha Java).
figure out how many pounds of each type of beans used.
:
Let m = amt of Mocha coffee
then
(18-m) = amt of Columbian coffee
:
5.43m + 4.89(18-m) = 92.07
:
5.43m + 88.02 - 4.89m = 92.07
:
5.43m - 4.89m = 92.07 - 88.02
:
.54m = 4.05
m = 4.05%2F.54
m = 7.5 lb of Mocha
then
18 - 7.5 = 10.5 lb of Columbian
:
:
Check this
5.43(7.5) + 4.89(10.5)
40.725 + 51.345 = 92.07, confirms our solutions