A uniersity has a student-facilty ratio of 12:1.

Question

How many students are there for 2 faculity members?

How many facilty member are there 120 students?

How many students are there for 100 faculty members?

How many faculty members are there for 5,400 students?

Sorry theres a lot:(

Answer 1

It may be easier for your learning style to remember that you can express a ratio as a fraction and that two ratios set as equal is a proportion problem.

To solve a proportion problem, you can cross-multiply, then divide to solve for the variable.

How many students are there for 2 faculity members?

12/1=x/2

x=24

How many facilty member are there 120 students?

12/1=120/x

12x=120

x=10

How many students are there for 100 faculty members?

12/1=x/100

x=1,200

How many faculty members are there for 5,400 students?

12/1=5,400/x

12x=5,400

x=450

Feel free to reach out to me through the Wyzant website if you have additional questions.

Answer 2

Student/faculty ratio means that the first number must always take into account student info and the second number must always take into account faculty info.

So: How many students are there for 2 faculty members? 12 students for one teacher/24 students for 2 teachers. Think about it...to get from 1 to 2 you doubled the number; if you doubled 12 you would get 24.

How many faculty member are there 120 students? Ask your self what did they do to get from 12 students to 120? They multiplied by 10 so you must do the same thing to the faculty number (1x10). So you would need 10 teachers.

How many students are there for 100 faculty members? You must do the same thing as the last problem but this time use the faculty portion of the ratio. To get from 1 to 100 you multiply by 100. You must do the same thing to the 12 students. The answer would be 1200 students.

How many faculty members are there for 5,400 students? Ask yourself how they got form 12 students to 5400? I divided 5400 by 12 and got 450. I then multiplied 450 by 1 faculty member to determine that I would need 450 faculty members to cover 1200 students. Hope that helps!