7/8 of jar capacity represents 3/4 gallon. 8/8 of jar capacity represents x gallon. This proportion can be written as
[tex]\frac{7/8}{8/8} = \frac{3/4}{x}[/tex]
Taking into account that 8/8 = 1 and solving for x gives
[tex]x = \frac{3/4}{7/8}[/tex]
[tex]x = 6/7[/tex]
which represents, in gallons, the maximum amount of juice the jar can hold.
