Answer:
19 gallons
Step-by-step explanation:
Let x gallons be the amount of water which should be added to 6 gallons of pure acid in order to obtain the 24% acid solution.
Amount of water = x gallons
Amount of pure acid = 6 gallons
Amount of acid solution = x + 6 gallons
Amount of acid in acid solution = 24%
So, there are [tex]0.24(x+6)[/tex] gallons of acid in acid solution.
Hence,
[tex]0.24(x+6)=6[/tex]
Solve this equation. Multiply it by 100:
[tex]24(x+6)=600\\ \\24x+144=600\\ \\24x=600-144\\ \\24x=456\\ \\x=19\ gallons[/tex]
