SOLUTION: A grocer mixed cashews worth $4.25 per pound with peanuts worth $2.75 per pound. How many pounds of each kind did he use to make a mixture of 60 pounds to sell at $3.75 per pound?

Question 821332: A grocer mixed cashews worth $4.25 per pound with peanuts worth $2.75 per pound. How many pounds of each kind did he use to make a mixture of 60 pounds to sell at $3.75 per pound?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A grocer mixed cashews worth $4.25 per pound with peanuts worth $2.75 per pound. How many pounds of each kind did he use to make a mixture of 60 pounds to sell at $3.75 per pound?
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Quantity:: c + p = 60 lbs
Value::: 4.25c + 2.75p = 3.75*60
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Modify for elimination:
425c + 425p = 425*60
425c + 275p = 375*60
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Subtract and solve for "p"::
150p = 50*60
p = 20 lbs (amt. of peanuts needed)
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Solve for "c":
c + p = 60 lbs
c = 40 lbs (amt. of cashews needed)
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Cheers,
Stan H.
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