SOLUTION: How many gallons of pure water should be added to 10 gallons of a solution that is 25% soap to make the solution 5% soap?

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Question 451460: How many gallons of pure water should be added to 10 gallons of a solution that is 25% soap to make the solution 5% soap?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = gallons of pure water to be added
given:
gallons of soap in 25% solution:
+.25%2A10+=+2.5+ gallons
----------------------
+2.5+%2F+%28+10+%2B+x+%29+=+.05+
+2.5+=+.05%2A%28+10+%2B+x+%29+
+2.5+=+.5+%2B+.05x+
+.05x+=2+
+x+=+40+
40 gallons of pure water should be added
check:
+2.5+%2F+%28+10+%2B+40+%29+=+.05+
+2.5+=+.05%2A50+
+2.5+=+2.5+
OK