Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
