SOLUTION: A trail mix comprised of 66% peanuts is being mixed with a trail mix variety that is 73% peanuts to create a 28 lb. bag of trail mix that is 68% peanuts. How many pounds of the 66%

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A trail mix comprised of 66% peanuts is being mixed with a trail mix variety that is 73% peanuts to create a 28 lb. bag of trail mix that is 68% peanuts. How many pounds of the 66%      Log On


   

Question 986158: A trail mix comprised of 66% peanuts is being mixed with a trail mix variety that is 73% peanuts to create a 28 lb. bag of trail mix that is 68% peanuts. How many pounds of the 66% peanuts trail mix must be used?
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe this demonstration will help, although it is a different example, but of the same kind:

two-part mixture using one variable

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A trail mix comprised of 66% peanuts is being mixed with a trail mix variety that is 73% peanuts to create a 28 lb. bag of trail mix that is 68% peanuts. How many pounds of the 66% peanuts trail mix must be used?
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peanuts + peanuts = peanuts
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0.66x + 0.73(28-x) = 0.68*28
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66x + 73*28 - 73x = 68*28
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-7x = -5*28
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x = 5*4 = 20 lb (amt. of 66% peanuts needed)
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Cheers,
Stan H.
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