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.

Step-by-step explanation:

Let the number of students =x

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

Thus the number of students wearing glasses =

`(x)/(6)`

The number of students does not wear glasses = 20

According to the question

`(x)/(6)+20=x`

Solve for x.

`\begin{gathered} x-(x)/(6)=20 \\ (6x-x)/(6)=20 \\ (5x)/(6)=20 \\ 5x=20*6 \\ 5x=120 \\ x=(120)/(5) \\ x=24 \end{gathered}`

Final Answer:

The number of total students is 24.