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Mixture Problem

How many gallons of gasoline that is 8% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 6% ethanol?

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Mohammed R. | Specialist in GED and College Prep MathSpecialist in GED and College Prep Math
Check Marked as Best Answer
       We have 2000 gallons of gasoline with no ethanol
       We want to add some 8% gasoline to make 6% gasoline
     gallons of gasoline that is 8% ethanol = x
(So the equation for the problem is going to be, Amount of current liquid * Percent of ethanol + Amount of liquid going to be added * Percent of ethanol = Total amount of liquid * Target amount of ethanol)
Lets solve the equation for x,
0.08x = 120 + 0.06x
0.08x - 0.06x = 120
0.02x = 120
x = 120/0.02
x = 6,000
Hence, 6,000 gallons of gasoline must be added
Gregg K. | #mathtutor AP Calculus & AP Statistics Teacher / College Teacher#mathtutor AP Calculus & AP Statistics T...
5.0 5.0 (7 lesson ratings) (7)
.08(X) +.00(2000) = .06(2000+X)
Solve this equation for X
The left side is the 2 parts separate
The right side is the mixture