Answer:
Bakery can make 576 cakes.
Explanation:
Amount of milk in bakery = 72 half gallon
Amount of milk needed to make cake = [tex]1\frac{2}{3}=\frac{1*3+2}{3} =\frac{5}{3}[/tex] cups.
1 cup = 1/8 half gallon = 0.125 half gallon.
Amount of milk need to make cake = [tex]0.125*\frac{5}{3} =0.208[/tex] half gallon.
Total cake made in bakery = 72/0.208 = 346 cakes.
So bakery can make 346 cakes.