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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?

### 2 Answers by Expert Tutors

Mohammed R. | Specialist in GED and College Prep MathSpecialist in GED and College Prep Math
8
Here,
We have 2000 gallons of gasoline with no ethanol
We want to add some 8% gasoline to make 6% gasoline
Let,
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,
x*0.08+2000*0=(2000+x)*0.06
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)
-3
.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