SOLUTION: how many cubic inches of a candy barthat is 45% dark chocolate must be melted and mixed with 18 cubic inches of a candy bar that is 20% dark chocolate to obtain a candy bar that is

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Question 954362: how many cubic inches of a candy barthat is 45% dark chocolate must be melted and mixed with 18 cubic inches of a candy bar that is 20% dark chocolate to obtain a candy bar that is 30% dark chocolate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = in3 of 45% dark chocolate needed
+.45x+ = in3 of dark chocolate in 45% mix
+.2%2A18+=+3.6+ in3 of dark chocolate in 20% mix
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+%28+.45x+%2B+3.6+%29+%2F+%28+x+%2B+18+%29+=+.3+
+.45x+%2B+3.6+=+.3%2A%28+x+%2B+18+%29+
+.45x+%2B+3.6+=+.3x+%2B+5.4+
+.15x+=+1.8+
+x+=+12+
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12 in3 of the 45% dark chocolate are needed