SOLUTION: A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $50 a pound to get a mixture that can be sold for $40 a pound. How many pounds of the

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Question 1025510: A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $50 a pound to get a mixture that can be sold for $40 a pound. How many pounds of the $20 coffee should be used?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of pounds of $20 stuff, x. The setup looks like this:
20x + 50(50) = 40(50 + x)
Now solve for x.
20x + 2500 = 2000 + 40x
500 = 20x
x = 25 pounds of $20 coffee