SOLUTION: I am very confused. My question is, How many pounds of nuts costing $2.50 per pound should be mixed with 2 pounds of nuts costing $4.50 per pound to obtain a mixture costing $3.00

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Question 676395: I am very confused. My question is, How many pounds of nuts costing $2.50 per pound should be mixed with 2 pounds of nuts costing $4.50 per pound to obtain a mixture costing $3.00 per pound? I do not understand how to get an equation from that.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of nuts needed
+%28+2.5x+%2B+4.5%2A2+%29+%2F+%28+x+%2B+2+%29+=+3+
( Note that +3+ means $3 per pound )
+2.5x+%2B+9+=+3%2A%28+x+%2B+2+%29+
+2.5x+%2B+9+=+3x+%2B+6+
+.5x+=+9+-+6+
+.5x+=+3+
+x+=+6+
6 pounds of nuts are needed
check answer:
+%28+2.5%2A6+%2B+4.5%2A2+%29+%2F+%28+6+%2B+2+%29+=+3+
+%28+15+%2B+9+%29+%2F+8+=+3+
+24+=+3%2A8+
+25+=+24+
OK