Question

There are 9 aides in a school and 24 students for every teacher. If there are s students in the school, what is an expression for the total number of teachers and aides? Evaluate the expression for 240 students.

Answer 1

385

Explanation:

Lets say, first number = x

Second number = 3x+7

Total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 385

Hope this helps!!

Answer 2

Required expression :
`(s)/(24)+9`

Total number of teachers and aides for 240 students is 19.

Explanation:

It is given that there are 9 aides in a school and 24 students for every teacher. It means the number of aides remain constant and number of teachers depend on the number of students.

24 students = 1 Teacher

1 student =
`(1)/(24)` Teachers

s students =
`(s)/(24)` Teachers

If there are s students in the school, then the expression for the total number of teachers and aides is

`\text{Total number of teachers and aides}=(s)/(24)+9`

We need to find the value of this expression for 240 students.

Substitute s=240 in the above expression.

`\text{Total number of teachers and aides}=(240)/(24)+9`

`\text{Total number of teachers and aides}=10+9=19`

Therefore, the total number of teachers and aides for 240 students is 19.