SOLUTION: How many pounds of nuts selling for $18 per lb and raisins selling for $6 per lb should a person combine to obtain 90 lb of a trail mix selling for $10 per lb?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How many pounds of nuts selling for $18 per lb and raisins selling for $6 per lb should a person combine to obtain 90 lb of a trail mix selling for $10 per lb?       Log On


   

Question 1030426: How many pounds of nuts selling for $18 per lb and raisins selling for $6 per lb should a person combine to obtain 90 lb of a trail mix selling for $10 per lb?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many pounds of nuts selling for $18 per lb and raisins selling for $6 per lb should a person combine to obtain 90 lb of a trail mix selling for $10 per lb?
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Quantity:: e + s = 90 lb
Value:: 18e + 6s = 10*90
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Modify for elimination:
e + s = 90
3e+ s = 150
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Subtract and solve for "e"::
2e = 60
e = 30 lb (amt. of $18 nuts needed)
s = 90-30 = 60 lb (amt. of $6 nuts needed)
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Cheers,
Stan H.
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