Your answer would be 28 gallons.
We can find this by first calling the total amount of gallons that the container can hold 'x', and writing the equation:
[tex] \frac{3}{4} x - 7 = \frac{1}{2} x[/tex]
Then we can solve for x:
[tex] \frac{3}{4} x - 7 = \frac{1}{2} x[/tex]
[tex] \frac{3}{4} x = \frac{1}{2} x + 7[/tex]
[tex] \frac{3}{4} x - \frac{1}{2} x= 7[/tex]
To subtract these fractions, we just need to get 1/2 over 4, which we do by multiplying it by 2 to get 2/4:
[tex] \frac{3}{4} x - \frac{2}{4} x = 7[/tex]
[tex] \frac{1}{4}x = 7 [/tex]
Finally, to divide 7 by 1/4, we simply need to multiply 7 by 4, which gives us 28.
I hope this helps! Let me know if you have any questions :)
