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?
Use a proportion, cross multiply, and solve for x.
3,000/90 = 3,500/x
3,000x = 315,000
x = 315,000 / 3,000
x = ?
To answer this question, we need to determine the current student-to-instructor ratio and then use that ratio to find the number of new instructors needed for a projected enrollment of 3,500.
The student-to-instructor ratio can be calculated by dividing the total number of students by the total number of instructors.
Let's calculate the current student-to-instructor ratio:
Student-to-instructor ratio = Total number of students / Total number of instructors
Student-to-instructor ratio = 3,000 / 90
Student-to-instructor ratio = 33.33 (approximately)
Now, we need to find out how many instructors are needed to maintain the same student-to-instructor ratio for the projected enrollment of 3,500.
Number of new instructors needed = Projected number of students / Student-to-instructor ratio
Number of new instructors needed = 3,500 / 33.33
Number of new instructors needed = 105 (approximately)
Therefore, the community college should hire approximately 105 new instructors to maintain the same student-to-instructor ratio with a projected enrollment of 3,500.