Question

Lincoln Elementary has 651 students and 31 teachers. The total number of students in the elementary and middle school is 1,197. How many teachers does the middle school have if it has the same teacher-student ratio as the elementary school?

Answer 1

Explanation:

elementary school has 651 students and 31 teachers.

the teacher/student ratio is therefore 31/651 or simplified 1/21.

elementary and middle school together have 1197 students. that means the middle school has

1197 - 651 = 546 students

their teacher student ratio is then

x/546

and that must be the same as for the elementary school.

so,

x/546 = 1/21

x = 546/21 = 26

so, the middle school has 26 teachers.