# There are 25 students who answered a survey about sports. Four fifths of them like football. How many students like football?

Jun 6, 2016

20 Students

#### Explanation:

We're given that there are 25 students who participated in the survey about sports. Four fifths of them like football.

A simple method that works every time is taking your total value, $25$, and multiplying it by the value we want to find, $\frac{4}{5}$.

$= 25 \left(\frac{4}{5}\right)$

$= \frac{100}{5}$

$= 20$

We know know that $20$ is equal to $\frac{4}{5}$ of $25$. To check/reason, we can set up an equation.

x students = $\frac{4}{5}$ students of $25$ total students

x students = $\frac{4}{5}$ students times (in math, $o f$ means to multiply) $25$ total students

x students = $20$ students

There! We proved that $\frac{4}{5}$ of 25 is 20!