Question 1017042
Let {{{ n }}} = number of hot dogs sold
{{{ 336 - n }}} = number of hamburgers sold
-----------------
given:
{{{ n = (3/4)*( 336 - n ) }}}
{{{ 4n = 3*( 336 - n ) }}}
{{{ 4n = 1008 - 3n }}}
{{{ 7n = 1008 }}}
{{{ n = 144 }}}
and
{{{ 336 - n = 336 - 144 }}}
{{{ 336 - n = 192 }}}
--------------------
144 hot dogs were sold
check:
{{{ n = (3/4)*( 336 - n ) }}}
{{{144 = (3/4)*192 }}}
{{{ 4*144 = 3*192 }}}
{{{ 576 = 576 }}}
OK