Question 1138769

let votes for Ben be {{{x}}} and for Matt {{{y}}}

{{{x /y= 2/3}}}
{{{x = 2y/3}}}....eq.1


if the total number of votes cast was {{{60}}}, we have

{{{x+y=60}}}

{{{x=60-y}}}....eq.2

from eq.1 and eq.2 we have

{{{ 2y/3=60-y}}}

{{{ 2y=180-3y}}}

{{{ 2y+3y=180}}}

{{{ 5y=180}}}

{{{ y=36}}}

go to {{{x=60-y}}}....eq.2, substitute {{{y}}}

{{{x=60-36}}}

{{{x=24}}}=> votes Ben did get