Question 867108
p = number of cups volume originally in the bottle.


act 1:
{{{p-p/5}}} cups in the bottle


act 2:
{{{p-p/5-2}}} cups in the bottle


act 3:
{{{p-p/5-2-(1/3)(p-p/5-2)}}}


act 4:
{{{p-p/5-2-(1/3)(p-p/5-2)-5/2}}},  using {{{5/2=2&1/2}}}


act 5:
{{{(1/2)(p-p/5-2-(1/3)(p-p/5-2)-5/2)}}}


Act 6:
Measurement made of how much juice still in the bottle.
{{{highlight_green((1/2)(p-p/5-2-(1/3)(p-p/5-2)-5/2)=3/4)}}}
Solve for p.