Question 823777
The members are either men or women.
Let {{{ x }}} = the number of men
{{{ 1150 - x }}} = the number of women
--------------
I can say:
{{{ (1/5)*x + (1/4)*(1150 - x) = 250 }}}
Multiply both sides by {{{ 20 }}}
{{{ 4x + 5*( 1150 - x ) = 5000 }}}
{{{ 4x + 5750 - 5x = 5000 }}}
{{{ -x = -750 }}}
{{{ x = 750 }}}
--------------
{{{ (1/5)*x }}} is the number of men
who do not play golf
--------------------
{{{ (4/5)*x }}} is the number of men
who play golf
--------------------
{{{ (4/5)*750 = 600 }}}
600 men play golf
------------------
check:
{{{ (1/5)*x + (1/4)*(1150 - x) = 250 }}}
{{{ (1/5)*750 + (1/4)*(1150 - 750) = 250 }}} 
{{{ 150 + (1/4)*400 = 250 }}}
{{{ 150 + 100 = 250 }}}
{{{ 250 = 250 }}}
OK