SOLUTION: How many gallons of gasoline that is 16% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 14% ethanol?

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Question 831187: How many gallons of gasoline that is 16% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 14% ethanol?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You want the lesson, "Mixture: one material quantity unknown", found in my lessons link. It explains how to create and solve the equation for this situation.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 16% ethanol
gasoline to be added
---------------------
+.16x+%2F+%28+x+%2B+2000+%29+=+.14+
+.16x+=+.14%2A%28+x+%2B+2000+%29+
+.16x+=+.14x+%2B+280+
+.02x+=+280+
+x+=+14000+
14,000 gallons of 16% ethanol gasoline must be added