In my school, there are 5 teachers and 170 students. The ratio of teachers to students in my school is . Count the number of teachers and students in your school. What is the ratio of teachers to students in your school? Write it below.

Proportional Reasoning - 1 | IT

Question 4

In my school, there are 5 teachers and 170 students. The ratio of teachers to students in my school is $5 : 170$ . Count the number of teachers and students in your school. What is the ratio of teachers to students in your school? Write it below.

Solution

Understand the Question

A ratio compares two quantities of the same kind by division, expressed in the form $a : b$ .
The ratio of teachers to students is given by $\text{Number of teachers} : \text{Number of students}$ .
This is an activity-based question where the counts depend on your specific school. An illustrative example with $20$ teachers and $600$ students is shown below.

Step 1 · Count Teachers and Students

Let the count of teachers and students in the school be:

$\text{Number of teachers} = 20$
$\text{Number of students} = 600$

Step 2 · Form and Simplify the Ratio

The ratio of teachers to students is $\text{Teachers} : \text{Students} = 20 : 600$

Dividing both terms by their greatest common factor ( $20$ ) $20 \div 20 : 600 \div 20 = 1 : 30$

Answer

$1 : 30$ (Answers may vary depending on the actual count in your school)

Common Mistakes

Reversing the Terms: Writing $\text{Students} : \text{Teachers}$ ( $30 : 1$ ) instead of $\text{Teachers} : \text{Students}$ ( $1 : 30$ ). Always maintain the exact order asked in the question.
Leaving in Unsimplified Form: Writing $20 : 600$ without simplifying it to its simplest form ( $1 : 30$ ) by dividing by the greatest common factor.

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