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

150 teachers

Step-by-step 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 \\ (56)/(100)\cdot x=84 \\ 0.56x=84 \end{gathered}`

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

`\begin{gathered} (0.56x)/(0.56)=(84)/(0.56) \\ x=150 \end{gathered}`

So there were 150 teachers altogether.