SOLUTION: (1 pt) Suppose a fuel mixture is 2% ethanol and 98% gasoline. How much ethanol (in gallons) must you add to one gallon of the fuel mixture so that the new fuel mixture is 10% ethan

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: (1 pt) Suppose a fuel mixture is 2% ethanol and 98% gasoline. How much ethanol (in gallons) must you add to one gallon of the fuel mixture so that the new fuel mixture is 10% ethan      Log On

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Question 832410: (1 pt) Suppose a fuel mixture is 2% ethanol and 98% gasoline. How much ethanol (in gallons) must you add to one gallon of the fuel mixture so that the new fuel mixture is 10% ethanol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of ethanol to be added
+.02%2A1+=+.02+ gallons of ethanol originally
-------------------
+%28+x+%2B+.02+%29+%2F+%28+1+%2B+x+%29+=+.1+
+x+%2B+.02+=+.1%2A%28+1+%2B+x+%29+
+x+%2B+.02+=+.1+%2B+.1x+
+.9x+=+.08+
+x+=+.08%2F.9+
+x+=+.0889+
.0889 gallons of ethanol must be added
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check:
+%28+x+%2B+.02+%29+%2F+%28+1+%2B+x+%29+=+.1+
+%28+.0889+%2B+.02+%29+%2F+%28+1+%2B+.0889+%29+=+.1+
+.1089+%2F+1.0889+=+.1+
+.1089+=+.1%2A1.0889+
+.1089+=+.1089+
OK