SOLUTION: I need help with this word problem please. A merchant has coffee worth $40 a pound that she wishes to mix with 30 pounds of coffee worth $90 a pound to get a mixture that can be

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Question 602868: I need help with this word problem please.
A merchant has coffee worth $40 a pound that she wishes to mix with 30 pounds of coffee worth $90 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $40 coffee should be used?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of $40/pound coffee needed
+40x+ = cost of $40/pound coffee
+90%2A30+=+2700+ = cost of $90/pound coffee
---------------
+%28+40x+%2B+2700+%29+%2F+%28+x+%2B+30+%29+=+60+
+40x+%2B+2700+=+60%2A%28+x+%2B+30+%29+
+40x+%2B+2700+=+60x+%2B+1800+
+20x+=+900+
+x+=+45+
45 pounds of $40/pound coffee is needed
check:
+%28+40%2A45+%2B+2700+%29+%2F+%28+45+%2B+30+%29+=+60+
+%28+1800+%2B+2700+%29+%2F+75+=+60+
+4500+%2F+75+=+60+
+4500+=+4500+
OK