For this case we propose a rule of three taking into account that:
6 cakes ----------> [tex]\frac {3} {4}[/tex] cup of sugar
32 cakes --------> x
Where the variable "x" represents the amount of cups of sugar needed for 32 cheesecakes.
[tex]x = \frac {32 * \frac {3} {4}} {6}\\x = \frac {24} {6}\\x = 4[/tex]
Thus, 4 cups of sugar are needed to make 32 cheesecakes.
Answer:
4 cups of sugar