SOLUTION: A merchant has coffee worth $40 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the

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Question 159997: A merchant has coffee worth $40 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the $40 coffee should be used?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
LEt's call the amount of $40 coffee X.
Then the price-volume equation becomes,
40%2AX%2B80%2A20=50%2A%28X%2B20%29
40X%2B1600=50X%2B1000
-10X=-600
X=60
60 lbs of $40/lb coffee needs to be added.