There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students

Solution:

Number of teachers in the school = 102

Number of students in the school = 3300

The ratio of the number of teachers to the number of students =  Number of teachers in the school  / Number of students in the school

= 102 / 3300

Here,

The factors of 102 are 2 × 3 × 17 and the factors of 3300 is 2 × 2 × 3 × 5 × 5 × 11 

Now, the HCF of 102 and 3300 is 2 × 3 = 6.

= (6 × 17) / (6 × 550)

= 17 / 550

Therefore, 17:550 is the resultant ratio of the number of teachers to the number of students.

Class 6 Maths NCERT Solutions Chapter 12 Exercise 12.1 Question 9

There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students

Summary:

It is given that there are 102 teachers in a school of 3300 students. We have found the ratio of the number of teachers to the number of students is 17:550.

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