Question

in an examination, 95% of the total examinees passed. if the number of failures is 28, how many examinees were there?

Answer 1

Answer:

560

let the total number of students be X

then,5x/100=28

X/20=28

X=20×28=560

Answer 2

Given: In an examination, 95% of the total examinees passed and the number of failures is 28.

To find: We have to find the number of examinees.

Solution:

To determine the number of examinees we have to follow the below steps as follows-

Let the total number of examinees be x.

95% of total examinees are passed.

So, the number of passed students is equal to-

$x \times \frac{95}{100} \\ \frac{95x}{100}$

The number of failed students will be-

$x - \frac{95x}{100} \\ \frac{5x}{100}$

Given that the total number of failed students is 28.

So, we can write-

$\frac{5x}{100} = 28 \\ x = 28 \times 20 \\ x = 560$

The total number of examinees is 560.