SOLUTION: Dark chocolate costs $40 dollars per pound. Mustard costs $5 per pound. Ellie wants to create a 10 pound mixture of the two items that costs $26 dollars per pound. How much dark ch

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Dark chocolate costs $40 dollars per pound. Mustard costs $5 per pound. Ellie wants to create a 10 pound mixture of the two items that costs $26 dollars per pound. How much dark ch      Log On


   

Question 1174541: Dark chocolate costs $40 dollars per pound. Mustard costs $5 per pound. Ellie wants to create a 10 pound mixture of the two items that costs $26 dollars per pound. How much dark chocolate and mustard must she buy?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Your "total cost" equation is

    40*C + 5*(10-C) = 26*10


where "C" is the mass of the dark chocolate, in pounds.


From the equation


    C = %28260+-+50%29%2F%2840-5%29 = 6.


ANSWER.  6 pounds of the dark chocolate and  10-6 = 4 pounds of mustard.

Solved.