Question

In an elementary school, 20% of the teachers teach advanced writing skills. If there are 25writing teachers, how many teachers are there in the school?

Answer 1

125 teachers

Step-by-step explanation:

We were given that:

20% of teachers teach advanced writing skills = 20/100 = 0.2

Number of writing teachers = 25

The total number of teachers = x

We will obtain the number of teachers in the school as shown below:

`\begin{gathered} (No.of.writing.teachers)/(Total.number.of.teachers)*100\text{\%}=20\text{\%} \\ (25)/(x)*100\text{\%}=20\text{\%} \\ \frac{25*100\text{\%}}{x}=20\text{\%} \\ \text{Cross multiply, we have:} \\ x\cdot20\text{\% }=25*100\text{\%} \\ \text{Divide both sides by 20\%, we have:} \\ \frac{x\cdot20\text{\%}}{20\text{\%}}=\frac{25*100\text{\%}}{20\text{\%}} \\ x=(2500)/(20) \\ x=125 \\ \\ \therefore x=125 \end{gathered}`

Hence, the total number of teachers in the school is 125