SOLUTION: Paul mixes nuts worth $1.45 per pound with oats worth $1.05 per pound to get 29 pounds of trail mix worth $1.25 per pound. How many pounds of nuts and how many pounds of oats did h

Question 433599: Paul mixes nuts worth $1.45 per pound with oats worth $1.05 per pound to get 29 pounds of trail mix worth $1.25 per pound. How many pounds of nuts and how many pounds of oats did he use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Paul mixes nuts worth $1.45 per pound with oats worth $1.05 per pound to get 29 pounds of trail mix worth $1.25 per pound. How many pounds of nuts and how many pounds of oats did he use?
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Equations:
Quantity Eq: n + o = 29
Value Eq::145n+105o = 125*29
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Multiply thru Quantity by 145
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145n + 145o = 145*29
145n + 105o = 125*29
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Subtract and solve for "o":
40o = 20*29
o = 29/2 = 14.5 lbs (amt. of oats needed)
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Solve for "n":
n + o = 29
n + 14.5 = 29
n = 14.5 lbs (amt. of nuts needed)
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Cheers,
Stan H.
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