SOLUTION: How many pounds of pure peanuts must be combined with a 20% peanut mix to produce 2 pounds of a 50% peanut mix?

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Question 1097392: How many pounds of pure peanuts must be combined with a 20% peanut mix to produce 2 pounds of a 50% peanut mix?
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let pure peanuts be x. Then, 20% peanuts will be 0.2x
0.2x + 1(2-x) = 0.50(2)
0.2x + 2-x = 1
-0.8x = -1
x = 1.25

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How many pounds of pure peanuts must be combined with a 20% peanut mix to produce 2 pounds of a 50% peanut mix?
Pure peanut is 100%

Let amount of pure peanut be P

Then amount of 20% peanut = 2 -P

We then get: 1P + .2(2 - P) = .5(2)

P + .4 - .2P = 1

.8P = 1 - .4

Amount of pure (100%) peanut, or 

As the resultant (50%) is FARTHER from pure (100%) peanut than it is to 20% peanut mix, it's expected that

the amount of 100% (pure) peanuts will be less than the amount of 20% peanut.