SOLUTION: How much candy that is worth $5 per pound must be mixed with 60 lb that is worth $4 per pound to get a special Christmas mixture to sell for $4.40 per pound?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How much candy that is worth $5 per pound must be mixed with 60 lb that is worth $4 per pound to get a special Christmas mixture to sell for $4.40 per pound?      Log On


   



Question 668738: How much candy that is worth $5 per pound must be mixed with 60 lb that is worth $4 per pound to get a special Christmas mixture to sell for $4.40 per pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of $5 per pound candy needed
+5x+ = amount spent on $5 per pound candy
+4%2A60+=+240+ = amount spent on $4 per pound candy
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+%28+5x+%2B+240+%29+%2F+%28+x+%2B+60+%29+=+4.4+
+5x+%2B+240+=+4.4%2A%28+x+%2B+60+%29+
+5x+%2B+240+=+4.4x+%2B+264+
+.6x+=+24+
+x+=+40+
40 pounds of $5 per pound candy are needed
check:
+%28+5%2A40+%2B+240+%29+%2F+%28+40+%2B+60+%29+=+4.4+
+%28+200+%2B+240+%29+%2F+100+=+4.4+
+440+=+100%2A4.4+
+440+=+440+