Answer
\[324\,\text{teachers}\]
Work Step by Step
The school board determines that there should be\[3\]teachers for every group of \[50\]students.
The number of such groups that \[5400\]students can be divided into are \[\frac{5400}{50}=108\,\text{groups}\]
The number of teachers required for \[108\,\text{groups}\]would be,
\[108\times 3=324\,\text{teachers}\]