SOLUTION: How much water should be added to 1 gallon of pure antifreese to obtain a solution that is 45% antifreeze?

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Question 578067: How much water should be added to 1 gallon of pure antifreese to obtain a solution that is 45% antifreeze?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of water to be added
+1+%2F+%28+1+%2B+x+%29+=+.45+
+1+=+.45%2A%28+1+%2B+x+%29+
+1+=+.45+%2B+.45x+
+.45x+=+.55+
+.09x+=+.11+
+x+=+.11%2F.09+
+x+=+1.222+
1.222 gallons of water must be added
check:
+1+%2F+%28+1+%2B+x+%29+=+.45+
+1+%2F+%28+1+%2B+1.222+%29+=+.45+
+1+%2F+2.222+=+.45+
+1+=+.45%2A2.222+
+1+=+.9999+
OK - error due to rounding off