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