Question 694487
{{{x}}} = number of female workers
number of male workers = {{{(5/3)x}}}
Total number of workers = {{{x+(5/3)x=x(1+5/3)=x(8/3)}}}
 
The way I understand the problem, the number of female workers is {{{40}}} less than the number of male workers, so
{{{x=(5/3)x-40}}} --> {{{3x=3((5/3)x-40)}}} --> {{{3x=3(5/3)x-3*40}}} --> {{{3x=5x-120)}}}
 
That equation is fairly easy to solve:
{{{3x=5x-120}}} --> {{{3x-5x=5x-120-5x}}} --> {{{-2x=-120}}} --> {{{-2x/(-2)=-120/(-2)}}} --> {{{x=60}}}
 
With the value of {{{x}}}, we can find the total number of workers:
Total number of workers = {{{x(8/3)=60(8/3)=highlight(160)}}}