SOLUTION: Coffee costing $4.80 per pound is blended with coffee costing $3.60 per pound. How many pounds of each must be mixed to obtain 25 pounds of a blend that costs an average of $4.25

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Question 960913: Coffee costing $4.80 per pound is blended with coffee costing $3.60 per
pound. How many pounds of each must be mixed to obtain 25
pounds of a blend that costs an average of $4.25 per pound?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Coffee costing $4.80 per pound is blended with coffee costing $3.60 per
pound. How many pounds of each must be mixed to obtain 25
pounds of a blend that costs an average of $4.25 per pound?
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Equations::
Quantity:: f + t = 25 lbs
Value::: 4.8f+3.6t = 4.25*25
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Modify for elimination::
4.8f + 4.8t = 4.8^25
4.8f + 3.6t = 4.25*25
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Subtract and solve for "t":
1.2t = 0.55*25
t = 11.46 lbs (amt. of $3.60 coffee needed)
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f = 25-11.46 = 13.54 lbs (amt. of $4.80 coffee needed)
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Cheers,
Stan H.
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