SOLUTION: The manager of a bulk foods establishment sells peanuts for $8 per pound and premium cashews for $15 per pound. The manager wishes to make a 35 pound nut mixture that will sell fo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The manager of a bulk foods establishment sells peanuts for $8 per pound and premium cashews for $15 per pound. The manager wishes to make a 35 pound nut mixture that will sell fo      Log On


   

Question 718888: The manager of a bulk foods establishment sells peanuts for $8 per pound and premium cashews for $15 per pound. The manager wishes to make a 35 pound nut mixture that will sell for $14 per pound. How many pounds of peanuts should be used?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The manager of a bulk foods establishment sells peanuts for $8 per pound and premium cashews for $15 per pound. The manager wishes to make a 35 pound nut mixture that will sell for $14 per pound. How many pounds of peanuts should be used?
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let x=amount of peanuts to use
35-x=amount of cashews to use
..
8x+15(35-x)=35(14)
8x+525-15x=490
7x=35
x=5
35-x=30
amount of peanuts to use=5 pounds
amount of cashews to use=30 pounds