Question

The ratio of the number of teachers to the number of students in a school is 1: 20 If
their total number is 4200, find the number of students and teachers in the school.​

Answer 1

ratio =1:20
let teacher =x
students =20x
total =4200
x+20x=4200
21x=4200
x=4200/21
=200
teacher =200
students =20><200
=4000

use>< as multiply

Answer 2

There are 4000 students and 200 teachers in the school.

Given:

The ratio of the number of teachers to the number of students

in a school is 1 : 20

The total number of teachers and students is 4200.

To find:

The number of students and teachers in the school.​

Solution:

Step 1 of 2:

The ratio of the number of teachers to the number of students

in a school is 1 : 20

Let the number of teachers be 'x'

Therefore,

The number of students = 20x

The total number of teachers and students is 4200.

x + 20x = 4200

21x = 4200

x = $\frac{4200}{21}$

x =  200

Step 2 of 2:

Number of teachers = 200

Number of students = 20x

Number of students  = 20 × 200

Number of students = 4000