SOLUTION: how many pounds of 40 cent nuts and how many pounds of 25 cent nuts must you a dealer use to produce a misture of 90 pounds to sell at 31 cents per pound?

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Question 385787: how many pounds of 40 cent nuts and how many pounds of 25 cent nuts must you a dealer use to produce a misture of 90 pounds to sell at 31 cents per pound?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many pounds of 40 cent nuts and how many pounds of 25 cent nuts must you a dealer use to produce a misture of 90 pounds to sell at 31 cents per pound?
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Equations:
Quantity: x + y = 90 lbs
Value:::40x + 25y = 31*90 cents
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Multiply Quantity by 40
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40x + 40y = 40*90
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Subtract from Value and solve for "y":
-15y = -9*90
y = 54 lbs (amt. of 25 cent nuts needed in the mixture)
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Since x+y = 90, x = 36 lbs (amt. of 40 cent nuts needed in the mixture)
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Cheers,
Stan H.