word problem

Question

At Rattlesnake School the teacher-student ratio is 1:30. If the school has 1200 students, how many additional teachers must be hired to change the ratio to 1:20?

Answer 1

The current ratio is 1 teacher to every 30 students. If there are 1200 students, which equals 40 * 30, then the equivalent ratio is 40:1200.

 

To change the ratio to 1:20, we know that 1200 = 60 * 20, so the equivalent ratio will then be 60:1200.

 

Consequently, the school needs to hire 60 - 40 = 20 additional teachers