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

Hint: Think of the basic definition of ratio and use the fractional form of a ratio to find the answer to the above question. Ratio for this problem shows how many teachers are there in order to count the number of students.

Complete step-by-step solution -
Let us first know what a ratio is.
A ratio in basic words is a quantity used to define a comparison between two quantities. A bit toward the advanced side, It is the quantity that defines how many times of one quantity is that of others.
 At our level, apart from the definition, we will treat it as a simple fraction that defines a relation between two given quantities.
Now, starting with the solution to the above question. It is given that there are 102 teachers in a school, while the number of students in the school is 3300. To find the ratio of the number of the teachers in the school to the number of students studying in the school, we need to divide the number of teachers by the number of students and represent the fraction we get in the form of a ratio.
$\therefore \dfrac{\text{number of teachers}}{\text{number of students}}=\dfrac{102}{3300}=\dfrac{17}{550}$
Therefore, the ratio number of teachers to the number of students in the school is 17:550.

Note: Read the question carefully as in the question, including ratio, there is always a chance that the question might have a twist hidden in the words of the question. Also, while solving a fraction for finding the ratio, be sure that you convert it to the simplest form, i.e., the numerator and the denominator must not have any common factors.