Question

1/6 of the students in a class wear glasses. If 20 students do not wear glasses, how many students are there in the class?

Answer 1

Given:

1/6 of the students in a class wear glasses and 20 students do not wear glasses.

Required:

Find the number of students.

Explanation:

Let the number of students =x

1/6 of the students in a class wear glasses.

Thus the number of students wearing glasses =

$\frac{x}{6}$

The number of students does not wear glasses = 20

According to the question

$\frac{x}{6}+20=x$

Solve for x.

$\begin{gathered} x-\frac{x}{6}=20 \\ \frac{6x-x}{6}=20 \\ \frac{5x}{6}=20 \\ 5x=20\times6 \\ 5x=120 \\ x=\frac{120}{5} \\ x=24 \end{gathered}$

Final Answer:

The number of total students is 24.