2 bowls per 3 people can be shown as:
[tex]\frac{2\ bowls}{3\ people}\\
\frac{2\ bowls}{3\ people}\\
Multiply\ by\ \frac{4}{4}\\
\frac{4}{4} * \frac{2}{3}\\
\frac{8}{12}=\frac{8\ bowls}{12\ people}[/tex]
So the number of bowls you'll need for 12 people is 8.