SOLUTION: A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound.       Log On


   

Question 233812: A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling nuts serparetly?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling nuts serparetly?
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Equation:
value + value = value
1.5*30 + 5x = 3(30+x)
45 + 5x = 90 + 3x
2x = 45
x = 22.5 lb (amount of cashews needed in the mixture)
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Cheers,
Stan H.