SOLUTION: peanuts cost $2.00 per pound and cashews cost $6.00 per pound. how many pounds of each nut should be combined to get a five pound mixture at $4.40 per pound?

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Question 491721: peanuts cost $2.00 per pound and cashews cost $6.00 per pound. how many pounds of each nut should be combined to get a five pound mixture at $4.40 per pound?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
peanuts cost $2.00 per pound and cashews cost $6.00 per pound. how many pounds of each nut should be combined to get a five pound mixture at $4.40 per pound?
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Equations:
Quantity: p + c = 5 lbs
Value::: 2p +6c = 4.4*5 dollars
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Modify:
p + c = 5
p + 3c = 2.2*5
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Subtract and solve for "c":
2c = 6
c = 3 lbs (amt. of cashews needed)
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Solve for "p":
p + c = 5
p = 2 lbs (amt. peanuts needed)
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Cheers,
Stan H.