SOLUTION: A food company produces grated cheese made from Parmesan and Romano cheeses. Parmesan cost $4.50 per pound and Romano costs $6.00. How many pounds of Parmesan should be used to mak

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A food company produces grated cheese made from Parmesan and Romano cheeses. Parmesan cost $4.50 per pound and Romano costs $6.00. How many pounds of Parmesan should be used to mak      Log On


   

Question 704899: A food company produces grated cheese made from Parmesan and Romano cheeses. Parmesan cost $4.50 per pound and Romano costs $6.00. How many pounds of Parmesan should be used to make a 100 pound mixture that costs $5.07 per pound?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
4.5X+6(100-X)=5.07*100
4.5X+600-6X=507
-1.5X=507-600
-1.5X=-93
X=-93/-1.5
X=62 POUNDS OF PARMESAN IS USED.
100-62=38 POUNDS OF ROMAN0 IS USED.
PROOF:
4.5*62+6*38=5.07*100
279+228=507
507=507