SOLUTION: Powdered Milk worth $3.60/kg and cocoa worth 5.20/kg are to be mixed so that their combination is worth 82.40. How many kilograms of milk should be used if the weight of the milk i

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Powdered Milk worth $3.60/kg and cocoa worth 5.20/kg are to be mixed so that their combination is worth 82.40. How many kilograms of milk should be used if the weight of the milk i      Log On


   

Question 181174: Powdered Milk worth $3.60/kg and cocoa worth 5.20/kg are to be mixed so that their combination is worth 82.40. How many kilograms of milk should be used if the weight of the milk is 10 more that of the cocoa?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let m and c be the amount of milk and cocoa needed for the combo respectively
:
3.6m+5.2c=82.4..........eq 1
m=c+10.................eq 2
:
take m's value of c+10 from eq 2 and plug it into eq 1
:
3.6(c+10)+5.2c=82.4
:
3.6c+36+5.2c=82.4
:
8.8c=46.4
:
highlight%28c=5.27%29kg of cocoa
:
highlight%28m=c%2B10=5.27%2B10=15.27%29kg of milk