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 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
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Translate ratio problems into equations by expressing one quantity in terms of the other.
Updated On: Apr 24, 2025
- \(12\)
- \(13\)
- \(14\)
- \(15\)
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The Correct Option is D
Solution and Explanation
Step 1: Let the number of teachers be \(x\)
Then number of students = \(240 - x\) Step 2: Given: 1 teacher for every 15 students \[ \frac{240 - x}{x} = 15 \Rightarrow 240 - x = 15x \Rightarrow 240 = 16x \Rightarrow x = 15 \]
Then number of students = \(240 - x\) Step 2: Given: 1 teacher for every 15 students \[ \frac{240 - x}{x} = 15 \Rightarrow 240 - x = 15x \Rightarrow 240 = 16x \Rightarrow x = 15 \]
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