SOLUTION: How much of a 15% dye solution should be added to 3 gallons of a 35% dye solution to get a 25% dye solution?

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Question 984687: How much of a 15% dye solution should be added to 3 gallons of a 35% dye solution to get a 25% dye solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 15% solution to be added
+.15x+ = gallons of dye in 15% solution
+.35%2A3+=+1.05+ = gallons of dye in 35% solution
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+%28+.15x+%2B+1.05+%29+%2F+%28+x+%2B+3+%29+=+.25+
+.15x+%2B+1.05+=+.25%2A%28+x+%2B+3+%29+
+.15x+%2B+1.05+=+.25x+%2B+.75+
+.1x+=+.3+
+x+=+3+
3 gallons of the 15% dye solution should be added
check:
+%28+.15x+%2B+1.05+%29+%2F+%28+x+%2B+3+%29+=+.25+
+%28+.15%2A3+%2B+1.05+%29+%2F+%28+3+%2B+3+%29+=+.25+
+%28+.45+%2B+1.05+%29+%2F+6+=+.25+
+1.5+=+6%2A.25+
+1.5+=+1.5+
OK