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.
Step-by-step explanation:
Let x be the number of professors.
The number of students =12x.
![12x+x\text{ =13000}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1tiznedyg2kcn87ync0xp5l0e39vg23eit.png)
![13x\text{ =13000}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b78iqzeuq0xxra5qx1occ1mqkma1sx0qyn.png)
Divide both sides of the equation by 13.
![(13x)/(13)\text{ =}\frac{\text{13000}}{13}](https://img.qammunity.org/2023/formulas/mathematics/high-school/d78ntsi1jn2hk3z63vjdygjaumwtaulhm4.png)
![x=1000](https://img.qammunity.org/2023/formulas/mathematics/high-school/9v1sd7hpiezricrj2zi4b4a2yc7at4qmlk.png)
The number of students = 12 times 1000 =12000
Final answer:
The number of students =12000.