SOLUTION: Ellen mixes nuts worth $1.60 per pound with oats worth $1.40 per pound to get 20 lbs of trail mix worth $1.54 per pound. How many pounds of nuts and how many pounds of oats should

Question 130045: Ellen mixes nuts worth $1.60 per pound with oats worth $1.40 per pound to get 20 lbs of trail mix worth $1.54 per pound. How many pounds of nuts and how many pounds of oats should she use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ellen mixes nuts worth $1.60 per pound with oats worth $1.40 per pound to get 20 lbs of trail mix worth $1.54 per pound. How many pounds of nuts and how many pounds of oats should she use?
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Let amt. of nuts be "x" lbs. ; value is 1.6x dollars
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Amt. of oats is "20-x" lbs . ; value is 1.4(20-x) = 28-1.4x dollars
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Mixture:
Amt. = 20 lbs. ; value = 1.54*20 = 30.8 dollars
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EQUATION:
value + value = value
1.6x + 28-1.4x = 30.8
0.2x = 2.8
x =14lbs (amount of nuts in the mixture)
20-x = 6 lbs (amount of oats in the mixture)
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Cheers,
Stan H.
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