In a school with 560 students, the ratio of students to teacher is 20 to 1. How many new teachers need to be hired to reduce the ratio to 16 to 1?

560/20 = 28 teachers currently.

560/16 = 35 teachers needed for 16:1 ratio. So how many new teachers must be hired?

7 teachers need to be hired> Thank you :)

5 4900

To solve this problem, we need to determine the current number of teachers in the school and the number of new teachers needed to achieve the desired ratio.

Given that the ratio of students to teacher is currently 20 to 1, we can divide the total number of students by 20 to find the current number of teachers.

Total number of students / Ratio = Number of teachers
560 students / 20 = 28 teachers

So, there are currently 28 teachers in the school.

Now, our goal is to reduce the ratio to 16 to 1. We need to find out how many new teachers need to be hired to achieve this.

We can use the same formula as before, but this time we will divide the total number of students by the new ratio (16 to 1), and then subtract the current number of teachers.

Total number of students / New ratio - Number of current teachers = Number of new teachers needed
560 students / 16 - 28 = Number of new teachers needed

Simplifying the equation:
35 - 28 = Number of new teachers needed

So, the number of new teachers needed to achieve the desired ratio is 7.