A Community College has 3,000 student and 90 instructors.The college plans that enrollment will be 3,500 next year.How many new instructors should be hired if the college wants to keep the same students to instructor ratio?

Cross multiply and solve for x.

3,000/90 = 3,500/x

Subtract 90 from your answer to find the number of instructors the college needs to hire.

To determine the number of new instructors to be hired while maintaining the same student-to-instructor ratio, we first need to calculate the current ratio of students to instructors.

Student-to-Instructor Ratio = Total Number of Students / Total Number of Instructors

Current Student-to-Instructor Ratio = 3000 students / 90 instructors
= 33.33 students per instructor

Now, we can use this ratio to calculate the number of instructors needed for the projected enrollment of 3,500 students.

Number of New Instructors = Projected Number of Students / Current Student-to-Instructor Ratio

Number of New Instructors = 3500 students / 33.33 students per instructor

To calculate the number of new instructors, divide the projected number of students by the current student-to-instructor ratio:

Number of New Instructors = 3500 / 33.33
Number of New Instructors ≈ 105

Thus, approximately 105 new instructors should be hired to maintain the same student-to-instructor ratio when the enrollment increases to 3,500 students next year.