Question

A group of 240 persons consisting of students and teachers is travelling in a train. For every 15 students, there is one teacher. Then, the number of teachers is 

• A. \(12\)
• B. \(13\)
• C. \(14\)
• D. \(15\)

Hint:

Translate ratio problems into equations by expressing one quantity in terms of the other.

Answer 1

The Correct Option is D

Step 1: Let the number of teachers be \(x\)
Then number of students = \(240 - x\) Step 2: Given: 1 teacher for every 15 students \[ \frac{240 - x}{x} = 15 \Rightarrow 240 - x = 15x \Rightarrow 240 = 16x \Rightarrow x = 15 \]