SOLUTION: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $6 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $4 a

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Question 493426: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $6 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $4 a pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of $6/pound coffee needed
given:
+6x+ = cost of $6/pound coffee used
+3%2A30+=+90+ = cost of $3/pound coffee used
----------------
In words:
(cost of coffee needed) / ( pounds of coffee needed ) = $4/pound
+%28+6x+%2B+90+%29+%2F+%28+x+%2B+30+%29+=+4+
+6x+%2B+90+=+4%2A%28+x+%2B+30+%29+
+6x+%2B+90+=+4x+%2B+120+
+2x+=+30+
+x+=+15+
15 pounds of $6/pound coffee is needed
check:
+%28+6%2A15+%2B+90+%29+%2F+%28+15+%2B+30+%29+=+4+
+%28+90+%2B+90+%29+%2F+45+=+4+
+180+%2F+45+=+4+
+180+=+180+
OK