Answer:
27 gallons is the capacity of the tank.
Step-by-step explanation:
Let the capacity of the tank be x gallons.
Initial tank was filled = [tex]\frac{1}{7}x [/tex]
After travelling tank was found to have = [tex]\frac{1}{9}x[/tex]
24 gallons of gasoline was added to fill the tank completely.
[tex]x=+\frac{1}{9}x+24[/tex]
[tex]x-\frac{1}{9}x=24[/tex]
[tex]\frac{9x-1x}{9}=24[/tex]
[tex]\frac{8x}{9}=24[/tex]
[tex]x=\frac{24\times 9}{8}=27[/tex]
27 gallons is the capacity of the tank.
