SOLUTION: How many gallons of gasoline that is 11% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 9% ethanol?

Question 928973: How many gallons of gasoline that is 11% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 9% ethanol?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = gallons of 11% ethanol/gasoline = gallons of 89% gasoline/ethanol
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gallons of 9% ethanol/gasoline = gallons of 91% gasoline/ethanol
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y = gallons of 100% gasoline/no_ethanol (pure gasoline) = 2000
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89x + 100y = 91(x + y)
89x + 100*2000 = 91(x + 2000)
89x + 200000 = 91x + 182000
91x - 89x = 200000 - 182000
2x = 18000
x = 9000
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answer:
x = gallons of 11% ethanol/gasoline = 9000
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