The premium antifreeze solution contains 95% pure antifreeze.
The company wants to obtain 190 gallons of a mixture that contains 15% pure antifreeze.
How many gallons of water and how many gallons of premium antifreeze must be mixed?
x= gallons of water required
Since a 95% pure antifreeze means only 5% of water:
.05(190-x)+x=0.15(190)
9.5-0.05x+x=28.5
0.95x=28.5-9.5
0.95x=19
x=19/0.95
x=20
We need 20 gallons of water to produce 190 gallons of 15% pure antifreeze
190-20=170 gallons of 95% pure antifreeze
Water: 20 gallons
Premium antifreeeze: 170 gallons