Question

on monday 1/2 number of students of class 8 are in an a computer room 1/4 are in art room and rest 12 students are in playground what is the total number of students in a class​

Answer 1

Step-by-step explanation:

given that

no of student in computer room is 1/2 of total no of student

no of students in art room is 1/4 of total no of students

and 12 students on playground.

to find total no of student in the class

solution

let total no of student in class is x

hence

$total \: no \:of \: students \: in \: the \: class = \frac{1}{2} of \: x + \frac{1}{4} of \: x + 12$

$x = \frac{x}{2} + \frac{x}{4} + 12$

on solving this equation we get

$x = \frac{12 \times 8}{2}$

hence x is equal to 48.

hence total no of student in class is 48.

Answer 2

Answer:

The total number of students in a class 8 is 48 .

Step-by-step explanation:

Given -

1/2 number of students of class 8 are in an a computer room .

1/4 out of total students of class 8 are in art room.

rest 12 students are in playground.

To find -

The total number of students in a class 8 .

Solution -

Let , total number of students are x

1/2 number of students of class 8 are in an a computer room = $\frac{1}{2}x$

1/4 out of total students of class 8 are in art room = $\frac{1}{4} x$

As per given data,

$x=\frac{1}{2}x+\frac{1}{4}x+12$

LCM of 2 and 4 are 4

Multiply 1/2 by 2/2 and 12 by 4/4 we get

$x =\frac{2x}{4} + \frac{1x}{4}+ \frac{48}{4}$

$x = \frac{2x+1x+48}{4}$

$4x= 3x+ 48$

$4x-3x=48$

$x=48$

∴ The total number of students in a class 8 is 48 .