SOLUTION: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a

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Question 1124812: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of $7/pound coffee needed
+%28+7x+%2B+4%2A30+%29+%2F+%28+x+%2B+30+%29+=+5+
+7x+%2B+120+=+5%2A%28+x+%2B+30+%29+
+7x+%2B+120+=+5x+%2B+150+
+2x+=+30+
+x+=+15+
15 pounds of $7/pound coffee needed
———————
Check:
+%28+7%2A15+%2B+120+%29+%2F+%28+15+%2B+30+%29+=+%28+105+%2B+120+%29+%2F++45+
+225%2F45+=+5+
OK