so hmmm let's say, the pitcher has "x" cups when full
so, it was (3/4)x then 4 cups came out, went down to (2/3)x
now, if we subtract (2/3)x from (3/4)x, their difference will be the 4cups that were served
thus [tex]\bf \cfrac{3}{4}x-\cfrac{2}{3}x=4\implies \cfrac{3x}{4}-\cfrac{2x}{3}=4\implies \cfrac{3\cdot 3x-4\cdot 2x}{12}=4
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\cfrac{9x-8x}{12}=4\implies \cfrac{x}{12}=4[/tex]
and surely, you'd already know what "x" is