SOLUTION: Planters Nuts Inc wants to make a 15lb of mixed nuts from peanuts that cost $4/lb and mixed nuts without peanuts that cost $7/lb. The cost of the final mixture should be $6/lb. How

Question 347887: Planters Nuts Inc wants to make a 15lb of mixed nuts from peanuts that cost $4/lb and mixed nuts without peanuts that cost $7/lb. The cost of the final mixture should be $6/lb. How many lbs of peanuts should be used? Show equation..I am so stuck on this problem. I do not get this one at all
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Planters Nuts Inc wants to make a 15lb of mixed nuts from peanuts that cost $4/lb and mixed nuts without peanuts that cost $7/lb. The cost of the final mixture should be $6/lb. How many lbs of peanuts should be used? Show equation.
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Let p be amount of peanuts
Let n be amount without peanuts.
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Quantity Equation: p + n = 15 lb
Value Equation::: 4p + 7n = 6*15 dollars
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Multiply thru 1st by 7.
7p + 7n = 7*15
4p + 7n = 6*15
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Subtract the 2nd from the 1st and solve for "p":
3p = 15
p = 5 lb (amt. of peanuts used)
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Cheers,
Stan H.
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