Question

Many schools have a recommended students teachers ratio as 35:1.
Next year, school expects an increase in enrollment by 280 students.
How many new teachers will they appoint to maintain the students-teachers ratio?
[1 mark]

Answer 1

Given, the students- teachers ratio $=35:1$
Also, the increase in the number of students $=280$
Let the increase in the number of teachers $=x$

It is a case of direct proportion, as number of students will increase, the number of teachers will also increase.

[0.5 mark]

$\Rightarrow \frac{1}{35}=\frac{x}{280}$
$\Rightarrow x=8\text{teachers}$

Hence, number of teachers will be $8$.

[0.5 mark]