# Question b9b03

Sep 13, 2017

Your $\frac{3}{10}$ should be $\frac{3}{10}$ of the number of students who cast votes

#### Explanation:

Let the number of students who cast votes be represented by the variable $\textcolor{b l u e}{s}$

We are told that
color(white)("XXX")30%" of " s <= 57

$\textcolor{w h i t e}{\text{XXX}} \frac{3}{10} \times s \le 57$

$\textcolor{w h i t e}{\text{XXX}} s \le 57 \times \frac{10}{3}$

$\textcolor{w h i t e}{\text{XXX}} s \le 190$

Sep 13, 2017

$x \le 190$ $\text{votes}$

No more than $190$ students cast votes.

#### Explanation:

We know that the candidate receives $57$ votes, which are at least 30% of the total number of votes.

This means that $57$ is greater than or equal to 30% of the total votes.

Let the total number of votes be $x$.

Rightarrow 30% "of"# $x \le 57$ $\text{votes}$

$R i g h t a r r o w 0.3 x \le 57$ $\text{votes}$

$\therefore x \le 190$ $\text{votes}$

Therefore, there were no more than $190$ students who cast votes.