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 1
find 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
[tex] \frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11[/tex]%
women voters
[tex] \frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89[/tex]%
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 is
about 10,079 voters
