SOLUTION: A merchant has coffee worth $3 a pound that she wishes to mix with 60 pounds of coffee worth $9 a pound to get a mixture worth $8 a pound. How many pounds of the $3 coffee should

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Question 367330: A merchant has coffee worth $3 a pound that she wishes to mix with 60 pounds of coffee worth $9 a pound to get a mixture worth $8 a pound. How many pounds of the $3 coffee should be used?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
9*60+3*X=8(60+X)
540+3X=480+8X
3X-8X=480-540
-5X=-60
X=-60/-5
X=12 POUNDS OF THE $3 COFFEE IS USED.
PROOF:
9*60+3*12=8(60+12)
540+36=8*72
576=576