Question

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

Answer 1

Step 1: Ratio:

1. The comparison of two quantities of the same kind is known as a ratio.
2. The sign used to denote a ratio is “$:$”.
3. The ratio can be represented in various form, such as:
   a. $a$ to $b$
   b. $a:b$
   c. $\frac{a}{b}$

Step 2: Determine the ratio of the number of teachers to the number of students

Given,

Number of teachers in a school $=102$

Number of students in a school $=3300$

Ratio of number of teachers to the number of students $=$ Number of teachers / Number of students

Ratio of number of teachers to the number of students $=\frac{102}{3300}$

Ratio of number of teachers to the number of students $=\frac{2\times 3\times 17}{2\times 3\times 550}$

Ratio of number of teachers to the number of students $=\frac{17}{550}$

Hence, the ratio of the number of teachers to the number of students is $17:550$.