Question

A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors should be hired if the college wants to keep the same studentto instructor ratio?

Answer 1

`\begin{array}{ccc}2,000&-&50\\\\6,000&-&x\end{array}\\\\\\2,000x=50*6,000\ \ \ \ \ /:2,000\\\\x=(300,000)/(2,000)\\\\x=150\\\\150-50=100\\\\Answer:100\ new\ instructors.`