How much water should he add to 3 gallons of pure alcohol in order to obtain a solution that is 15% alcohol

1 answer

To obtain a solution that is 15% alcohol, we need to find the volume of water to add to the 3 gallons of pure alcohol. Let x be the volume of water in gallons.

The amount of alcohol in the final solution will be equal to 15% of the total volume of the solution. Since the total volume of the solution is x + 3 gallons, we can write the equation:

0.15(x + 3) = 3

0.15x + 0.45 = 3

0.15x = 2.55

x = 2.55 / 0.15

x = 17

So, he should add 17 gallons of water to the 3 gallons of pure alcohol in order to obtain a solution that is 15% alcohol.