The picture in the attached figure
let
x--------> men voters
y-------> women voters
we know that
y=x+2800------> y-x=2800------> equation 1
step 1find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters![\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11](https://tex.z-dn.net/?f=%20%5Cfrac%7B360%7D%7B100%7D%20%3D%20%5Cfrac%7B130%7D%7BM%7D%20%20%5C%5C%20M%3D%28100%2A130%29%2F360%20%5C%5C%20M%3D36.11)
%
women voters![\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89](https://tex.z-dn.net/?f=%20%5Cfrac%7B360%7D%7B100%7D%20%3D%20%5Cfrac%7B230%7D%7BF%7D%20%5C%5C%20F%3D%28100%2A230%29%2F360%20%5C%5C%20F%3D63.89)
%
remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%
if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters
the answer isabout 10,079 voters