SOLUTION: How many gallons of a 25% chemical solution must be added to 60 gallons of a 50% solution to get a 30% solution

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Question 667204: How many gallons of a 25% chemical solution must be added to 60 gallons of a 50% solution to get a 30% solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 25% solution needed
+.25x+ = gallons of chemical in 25% solution
+.5%2A60+=+30+ gallons of chemical in 50% solution
+%28++.25x+%2B+30+%29+%2F+%28+x+%2B+60+%29+=+.3+
+.25x+%2B+30+=+.3%2A%28+x+%2B+60+%29+
+.25x+%2B+30+=+.3x+%2B+18+
+.05x+=+30+-+18+
+.05x+=+12+
+x+=+240+
240 gallons of the 25% solution must be added
check:
+%28++.25x+%2B+30+%29+%2F+%28+x+%2B+60+%29+=+.3+
+%28++.25%2A240+%2B+30+%29+%2F+%28+240+%2B+60+%29+=+.3+
+%28+60+%2B+30+%29+%2F+300+=+.3+
+90+%2F+300+=+.3+
+90+=+.3%2A300+
+90+=+90+
OK