SOLUTION: A merchant wants to combine peanuts selling $2.40 per pound and cashews selling for $6.00 per pound to form 60 pounds which will sell at $3.00 per pound. What amount of each type o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A merchant wants to combine peanuts selling $2.40 per pound and cashews selling for $6.00 per pound to form 60 pounds which will sell at $3.00 per pound. What amount of each type o      Log On


   

Question 442675: A merchant wants to combine peanuts selling $2.40 per pound and cashews selling for $6.00 per pound to form 60 pounds which will sell at $3.00 per pound. What amount of each type of nut should be used?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of pounds of cashews
Then 60 - x = the number of pounds of peanuts
We can write the following equation for the total dollar amount:
2.4x + 6(60-x) = 3(60)
Solve for x:
2.4x + 360 - 6x = 180
-3.6x = -180
x = 50
Therefore there are 60 - 50 = 10 pounds of peanuts
Ans: 10 lbs. peanuts, 50 lbs. cashews