Question

In a college there are 16 times as many students as professors. If together the students and professors number 42,500, how many students are there in the collego?The number of students in the college is

Answer 1

Let the number of professors be x.

If there are 16 times as many students as professors, then the number of students will be:

`x*16=16x`

If the number of students and professors is 42,500, then we have that:

`\begin{gathered} x+16x=42500 \\ 17x=42500 \end{gathered}`

Solving by dividing both sides by 17, we have:

`\begin{gathered} x=(42500)/(17) \\ x=2500 \end{gathered}`

Hence, we can calculate the number of students in the college to be:

`\Rightarrow2500*16=40000`

Therefore, there are 40,000 students in the college.