In a college there are 12 times as many students as professors.

Given:
The number of students = 12 times the number of professors.
The total number of students and professors = 13,000.
Aim:
We need to find the number of students.
Explanation:
Let x be the number of professors.
The number of students =12x.
[tex]12x+x\text{ =13000}[/tex][tex]13x\text{ =13000}[/tex]Divide both sides of the equation by 13.
[tex]\frac{13x}{13}\text{ =}\frac{\text{13000}}{13}[/tex][tex]x=1000[/tex]The number of students = 12 times 1000 =12000
Final answer:
The number of students =12000.