Let the donuts topped with vanilla frostings be 4x and donuts topped with glaze be 7x.
The total number of donuts is 132. So equation for x is,
[tex]\begin{gathered} 4x+7x=132 \\ 11x=132 \\ x=\frac{132}{11} \\ =12 \end{gathered}[/tex]Determine the number of donuts topped with glaze.
[tex]\begin{gathered} 7x=7\cdot12 \\ =84 \end{gathered}[/tex]So answer is 84.