SOLUTION: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol.

Question 934398: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = gallons of 12% ethanol/gasoline = gallons of 88% gasoline/ethanol
y = gallons of 10% ethanol/gasoline = gallons of 90% gasoline/ethanol
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88x + 100*2000 = 90y
y = x + 2000
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put the system of linear equations into standard form
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88x + 100*2000 = 90y
y = x + 2000
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88x - 90y = -200000
x - y = -2000
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answer:
x = gallons of 12% ethanol/gasoline = 10000
y = gallons of 10% ethanol/gasoline = 12000
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