A community college has 3,000 students 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 student to instructor ratio?
3,000 / 90 = 33.33 students per instructor
3,500 / 33.3 = 105.1
105 - 90 = 15
3,000 / 90 = 33.33 students per instructor
3,500 / 33.3 = 105.1
105 - 90 = 15
15 more teachers
To find out how many new instructors should be hired in order to maintain the same student to instructor ratio, we need to determine the current ratio and then apply it to the projected enrollment.
The current student to instructor ratio can be found by dividing the number of students by the number of instructors:
Student to instructor ratio = Number of students / Number of instructors
In this case, the current student to instructor ratio is:
3000 students / 90 instructors = 33.33 students per instructor
To maintain the same ratio with a projected enrollment of 3,500 students, we need to calculate how many instructors would be needed. Let's call the number of new instructors needed "x".
Student to instructor ratio = Projected number of students / (Number of instructors + Number of new instructors)
Plugging in the values we have:
33.33 = 3500 / (90 + x)
Now we can solve for "x" to find out how many new instructors should be hired:
33.33 * (90 + x) = 3500
2999.7 + 33.33x = 3500
33.33x = 3500 - 2999.7
33.33x = 500.3
x = 500.3 / 33.33
x ≈ 15
Therefore, the college should hire approximately 15 new instructors to maintain the same student to instructor ratio with a projected enrollment of 3,500 students.