# 3 out of 8 students are athletes. If there are 1280 students at the school, how many are not athletes?

Oct 21, 2016

$800$ students at the school are not athletes.

#### Explanation:

If 3 out of 8 students are athletes ($\frac{3}{8} \times s t u \mathrm{de} n t s$), it stands to reason that 5 out of 8 students are not athletes ($\frac{5}{8} \times s t u \mathrm{de} n t s$).

If we represent the number of students who are not athletes by $x$ and we know the total number of students to be $1280$, we can write an equation:

$x = \frac{5}{8} \times 1280$

$x = 5 \times 160$

$\therefore x = 800$