Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #b9b03

2 Answers

Sep 13, 2017

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

Explanation:

Let the number of students who cast votes be represented by the variable $s$ $color(blue)s$

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

$XXX \frac{3}{10} \times s \leq 57$ $color(white)("XXX")3/10 xx s <= 57$

$XXX s \leq 57 \times \frac{10}{3}$ $color(white)("XXX")s <= 57 xx 10/3$

$XXX s \leq 190$ $color(white)("XXX")s <= 190$

Sep 13, 2017

$x \leq 190$ $x le 190$ $votes$ $"votes"$

No more than $190$ $190$ students cast votes.

Explanation:

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

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

Let the total number of votes be $x$ $x$ .

$\Rightarrow 30 % of$ $Rightarrow 30% "of"$ $x \leq 57$ $x le 57$ $votes$ $"votes"$

$\Rightarrow 0.3 x \leq 57$ $Rightarrow 0.3 x le 57$ $votes$ $"votes"$

$therefore x le 190$ $"votes"$

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

Related questions

Impact of this question

1330 views around the world

You can reuse this answer
Creative Commons License