SOLUTION: The comfort coffee company wants to mix 20 pounds of their smooth blend worth $3 a pound with their special blend worth $5 a pound in order to create a new blend of coffee worth $3

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Question 881330: The comfort coffee company wants to mix 20 pounds of their smooth blend worth $3 a pound with their special blend worth $5 a pound in order to create a new blend of coffee worth $3.50 a pound. How many pounds of the special blend should be added to the smooth blend?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of special blend
to be added
+3%2A20+=+60+ dollars worth of
the smooth blend is being used
+%28+60+%2B+5x+%29+%2F+%28+20+%2B+x+%29+=+3.5+
-------------------------------------------
+60+%2B+5x+=+3.5%2A%28+20+%2B+x+%29+
+60+%2B+5x+=+70+%2B+3.5x+
+1.5x+=+10+
+x+=+6.667+
6 and 2/3 pounds of the special blend should be added
check:
+%28+60+%2B+5x+%29+%2F+%28+20+%2B+x+%29+=+3.5+
+%28+60+%2B+5%2A6.667+%29+%2F+%28+20+%2B+6.667+%29+=+3.5+
+93.333+=+3.5%2A26.667+
+93.333+=+93.333+
OK