SOLUTION: How would I set up the following problem to find the answer? How many pounds of M&M's containing 50% red M&M's would we have to mix with 5 pounds of M&M's containing only 25% re

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Question 662912: How would I set up the following problem to find the answer?
How many pounds of M&M's containing 50% red M&M's would we have to mix with 5 pounds of M&M's containing only 25% red M&M's to obtain a final mix that contains 40% red M&M's?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many pounds of M&M's containing 50% red M&M's would we have to mix with 5 pounds of M&M's containing only 25% red M&M's to obtain a final mix that contains 40% red M&M's?
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Equation:
red + red = red
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0.50x + 0.25*5 = 0.40(x+5)
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50x + 25*5 = 40*x + 40*5
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10x = 15*5
x = 7.5 lbs (amt. of 50% M&M's needed)
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Cheers,
Stan H.

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