To make 1 chocolate cake we need 2 1/2 cups of sugar.
Let us first convert the mixed fraction to a simple fraction.
[tex]2\frac{1}{2}=\frac{(2\cdot2)+1}{2}=\frac{4+1}{2}=\frac{5}{2}[/tex]So to make 1 chocolate cake we need 5/2 cups of sugar.
To make 4 chocolate cakes we need how many cups of sugar?
Simply multiply the number of chocolate cakes with 5/2
[tex]4\times\frac{5}{2}=\frac{20}{2}=10[/tex]Therefore, we need 10 cups of sugar to make 4 chocolate cakes.