A community college has 2,000 students and 50 instructors. Next year the enrollment
will be 6,000. How many new instructors should be hired if the college wants to keep
the same studentto instructor ratio?
2,000 / 50 = 6,000 / x
Cross multiply and solve for x to find the total number of instructors needed. Then subtract 50 from the total to find the number of new instructors needed.
100 instructors
To determine the number of new instructors that should be hired to maintain the same student-to-instructor ratio, we need to calculate the current student-to-instructor ratio and then use that ratio to calculate the number of instructors needed for the new enrollment.
Step 1: Find the current student-to-instructor ratio
To find the current student-to-instructor ratio, divide the total number of students by the total number of instructors:
Student-to-Instructor Ratio = Total Students / Total Instructors
Student-to-Instructor Ratio = 2,000 / 50
Student-to-Instructor Ratio = 40
Step 2: Calculate the number of instructors needed for the new enrollment
To calculate the number of instructors needed for the new enrollment, divide the total number of students by the student-to-instructor ratio:
New Instructors Needed = Total Students / Student-to-Instructor Ratio
New Instructors Needed = 6,000 / 40
New Instructors Needed = 150
Therefore, the college should hire 150 new instructors to maintain the same student-to-instructor ratio.
To determine how many new instructors should be hired in order to maintain the same student-to-instructor ratio, we need to first calculate the current ratio.
The current student-to-instructor ratio can be found by dividing the number of students by the number of instructors. So, in this case, the current ratio is:
Current student-to-instructor ratio = Number of students / Number of instructors = 2,000 / 50 = 40 students per instructor.
Now, let's calculate the target number of instructors needed for the increased enrollment of 6,000 students while maintaining the same ratio.
Target number of instructors = Number of students / Target student-to-instructor ratio
Since we want to keep the same student-to-instructor ratio, we'll use the current ratio as the target ratio.
Target number of instructors = 6,000 students / 40 students per instructor = 150 instructors.
Therefore, the college would need to hire 150 - 50 = 100 new instructors to maintain the same student-to-instructor ratio with the increased enrollment of 6,000 students.