Question

The pie chart shows information about voters in a election.2800 more women vote than men.

Answer 1

ANSWER

The total number of voters is
$10080$



EXPLANATION

Let the
$x$
be the number of voters that are men.


Then the women will be
$x + 2800$


The total voters will be
$x + (x + 2800)$


$2x + 2800$



We now use ratio.


We can see from the diagram that,
$130 \degree$
corresponds to men.



We can write the ratio

$x:130 \degree$


Also the total number of voters corresponds to the angle in a complete circle. This will also give us the ratio,

$(2x + 2800):360 \degree$



We can therefore write the equation,

$\frac{2x + 2800}{x} = \frac{360 \degree}{130 \degree}$


$\frac{2x + 2800}{x} = \frac{36 }{13}$




We cross multiply to get,

$13(2x + 2800) = 36x$



This implies that,

$26x + 36400 = 36x$



We group like terms to obtain,

$26x - 36x = - 36400$


This implies that,


$- 10x = - 36400$



$x = 3640$


The total number of voters
$= 2(3640) + 2800$
$= 10080$


The total number of voters is
$10080$