SOLUTION: A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, h

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Question 99479: A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, how many pounds of each seeds are needed?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, how many pounds of each seeds are needed?
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Let amont of $12 seed be x lbs; value is 12x dollars
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Amount of $20 seed is "100-x" ; value is 20(100-x) = (2000-20x) dollars
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Amt of mixture = 100 lbs; value = 14*100 = 1400 dollars
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EQUATION:
value + value = value
12x + 2000-20x = 1400
-8x = -600
x = 75 lbs (amount of $12 see in the mixture)
100-x = 25 lbs (amount of $20 see in the mixture)
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Cheers,
Stan H.