How many gallons each of
15%
alcohol and
10%
alcohol should be mixed to obtain
5
gal of
12%
alcohol?
Gallons of
Solution
Percent
(as a decimal)
Gallons of
Pure Alcohol
x
15%=0.15
y
10%=0.1
5
12%=
Question content area bottom
Part 1
How many gallons of
15%
alcohol should be in the mixture?
2
gal
Part 2
How many gallons of
10%
alcohol should be in the mixture?
3
gal
Make a system of equations:
x + y = 5
15x+10y=60
x = 2 y = 3
So, 2 gallons of 15% alcohol and 3 gallons of 10% alcohol.