Answer: 2975
Step-by-step explanation:
Given : A college has a student to teacher ratio of 35 to 2. (1)
Let x be the number of students attend the college.
Then, the ratio of x students to 170 teachers will be \(\dfrac{x}{170}\) (2)
From (1) and (2), we have
\(\dfrac{x}{170}=\dfrac{35}{2}\)
Multiply 170 on both sides , we get
\(x=\dfrac{35\times170}{2}=2975\)
Therefore, the number of students attend the college = 2975
