Question

School A has 216 students and 12 classrooms. School B has 104 students and 4 classrooms. How many students would have to transfer from school B to school A for the ratio of students to classrooms at both schools to be the same?

Answer 1

Your answer should be 16. If you have any questions on any of the steps, don't hesitate to send me a message!

Answer 2

4 students will transfer from School B to School A.

Explanation:

School A has 216 students and 12 classrooms.

Or
`216/12=18` students per classroom

School B has 104 students and 4 classrooms.

Or
`104/4=26` students per classroom

Now, the average will be :

`(216+104) / (12+4)`

=>
`320/16 = 20` students per classroom

As school B has more than the average students, we will transfer
`(26-20=4)` students to A, that makes 22 students per classroom.

Therefore, there are 4 students who will transfer from School B to School A for the ratios of students to classrooms at both schools to be the same, which is 22 students: 1 classroom.