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# 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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