Question

One day 84 teachers were sick with the flu. If this were 56% of the total number of teachers, how many teachers were there altogether?

Answer 1

Answer:

150 teachers

Explanation:

Let x represent the total number of teachers

We can go ahead and solve for x by setting up the below equation;

$\begin{gathered} 56\text{\% of }x=84 \\ \frac{56}{100}\cdot x=84 \\ 0.56x=84 \end{gathered}$

Let's now divide both sides of the equation by 0.56;

$\begin{gathered} \frac{0.56x}{0.56}=\frac{84}{0.56} \\ x=150 \end{gathered}$

So there were 150 teachers altogether.