SOLUTION: Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem. A grocer sells milk chocolate at $2.60 per pound,

Algebra ->  Equations -> SOLUTION: Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem. A grocer sells milk chocolate at $2.60 per pound,       Log On


   

Question 1157946: Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem.
A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.60 per pound, and dark chocolate with almonds at $5.30 per pound. He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.35 per pound. The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined. How many pounds of each type must he use in this mixture?
amount of milk chocolate
lbs
amount of dark chocolate
lbs
amount of dark chocolate with almonds
lbs
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Long wording, simple description, maybe easiest to try to make a data table. 
MATERIAL              VARIABLE or EXPRESSIOn     PRICE       COST
milk choc                      m                 2.6        2.6m
dark choc                      d                 4.6        4.6d
dark with almonds            m+d                 5.3        5.3(m+d)
TOTAL                         50                          (50)(5.3)(m+d)

You can form two equations in two unknowns, and solve. (You can also use the "VARIABLES" sum equation to put the cost equation into a single variable and solve.)