Question 174990
Let x=total number of people in room, m=number of men, and w=number of women



Since "80% of the occupants are women", this means that {{{w=0.8x}}}. Solving for "x" and we get {{{w/0.8=x}}} ----> {{{x=1.25w}}}



Also, we know that the number of men and women must total the number of people in the room. So this means that {{{m+w=x}}}



{{{m+w=x}}} Start with the given equation.



{{{35+w=1.25w}}} Plug in {{{m=35}}} (the number of men) and {{{x=1.25w}}}



{{{35=1.25w-w}}} Subtract w from both sides.



{{{35=0.25w}}} Combine like terms.



{{{35/0.25=w}}} Divide both sides by 0.25 to isolate "w"



{{{140=w}}} Divide



So the answer is {{{w=140}}} which means that there are 140 women in the room