SOLUTION: A grocer wishes to mix some nuts worth $2 a pound with some worth $5 a per pound to make 480 pounds of a mixture to sell at $3 per pound. How many pounds of each should be used?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A grocer wishes to mix some nuts worth $2 a pound with some worth $5 a per pound to make 480 pounds of a mixture to sell at $3 per pound. How many pounds of each should be used?      Log On


   

Question 185444: A grocer wishes to mix some nuts worth $2 a pound with some worth $5 a per pound to make 480 pounds of a mixture to sell at $3 per pound. How many pounds of each should be used?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2(480-x)=3*480
5x+960-2x=1440
3x=1440-960
3x=480
x=480/3
x=160 lbs. of %5 nuts is used.
480-160=320 lbs. of $2 mix is used.
Proof:
5*160+2*320=3*480
800+640=1440
1440=1440