we know that
¾ cups of sugar --------> one cake
so
Applying proportion
Find out How much sugar would you need to make 12 1/2 cakes
First
Remember that
12 1/2=12+1/2=25/2
therefore
[tex]\begin{gathered} \frac{\frac{3}{4}}{1}=\frac{x}{\frac{25}{2}} \\ \\ x=\frac{3}{4}*\frac{25}{2} \\ \\ x=\frac{75}{8}\text{ cups} \end{gathered}[/tex]Convert 75/8 cups to a mixed number
75/8=72/8+3/8=9+3/8=9 3/8 cups of sugar
the answer is