Question 1097715
Let {{{ x }}} = the amount he had at first
He spent {{{ (3/5)*x }}} , so he had {{{ (2/5)*x }}}
left.
{{{ (2/5)*x + 250 = (1/2)*x }}}
Multiply both sides by {{{ 10 }}}
{{{ 4x + 2500 = 5x }}}
{{{ x = 2500 }}}
He had $2500 at first
---------------------------
check:
He spent {{{ (3/5)*2500 }}}. so he had
{{{ (2/5)*2500 = 1000 }}} left
He gets {{{ 250 }}}
{{{ 1000 + 250 = 1250 }}}
and
{{{ 1250 = (1/2)*2500 }}}
{{{ 1250 = 1250 }}}
OK