# Out of 2400 students of a school only 40% passed. How many students failed?

Jan 27, 2017

1,440 Students failed.

#### Explanation:

If 40% of the students passed then 60% of the students failed (100% - 40% = 60%).

We can therefore rewrite this problem as:

What is 60% of 2400?

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as $\frac{60}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "f".

Putting this altogether we can write this equation and solve for $f$ while keeping the equation balanced:

$f = \frac{60}{100} \times 2400$

$f = \frac{144000}{100}$

$f = 1440$