SOLUTION: In a school with S students and T teachers, there are 20 students for each teacher. Which of the following equations must be true? A. S = 20T B. T = 20S C. S + T = 20 D.

Algebra ->  Expressions -> SOLUTION: In a school with S students and T teachers, there are 20 students for each teacher. Which of the following equations must be true? A. S = 20T B. T = 20S C. S + T = 20 D.       Log On


   

Question 250947: In a school with S students and T teachers, there are 20 students for each teacher. Which of the following equations must be true?
A. S = 20T B. T = 20S C. S + T = 20 D. S - T = 20 E. ST = 20
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
S students
T teachers

20 students for each teacher implies that S/T = 20/1.

This would be the student to teacher ratio.

Start with S/T = 20/1

Multiply both equaqtion by T to get:

S = (20*T)/1

This is the same as:

S = 20*T which is the same as:

S = 20T which is selection A.

Example:

If the number of teachers is 5, then the number of students is 100.

Take 100 and divide it by 5 to get 20 students per teacher.