SOLUTION: how many pounds of chocolate worth $1.20 a pound must be mixed with 10 pounds of chocolate worth 90 cents a pound to produce a mixture worth $1.00 a pound?

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Question 426151: how many pounds of chocolate worth $1.20 a pound must be mixed with 10 pounds of chocolate worth 90 cents a pound to produce a mixture worth $1.00 a pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of $1.20/lb chocolate needed
(cost of chocolate) / (pounds of chocolate) = cost per pound
+%281.2x+%2B+10%2A.9%29+%2F+%28x+%2B+10%29+=+1+
+1.2x+%2B+9+=+x+%2B+10+
+.2x+=+1+
+x+=+5+
5 pounds are needed
check:
+%281.2%2A5+%2B+10%2A.9%29+%2F+%285+%2B+10%29+=+1+
+%28+6+%2B+9+%29+%2F+15+=+1+
+15%2F15+=+1+
+15+=+15+