Question 1046947
Let {{{ x }}} = pieces of 2 dollar notes she started with
{{{ 80 - x }}} = pieces of 10 dollar notes she started with
-------------
She spent {{{ (2/5)*x }}} 2 dollar notes, so she has
{{{ (3/5)*x }}} left
-------------
She has {{{ 80 - x - 8 }}} 10 dollar notes left
-------------
{{{ (3/5)*x = 72 - x }}}
{{{ (8/5)*x = 72 }}}
{{{ x = (5/8)*72 }}}
{{{ x = 45 }}}
----------------
{{{ 2x = 2*45 }}}
{{{ 2x = 90 }}}
and
{{{ ( 80 - x )*10 = ( 80 - 45 )*10 }}}
{{{ ( 80 - x )*10 = 35*10 }}}
{{{ ( 80 - x )*10 = 350 }}}
-----------------------
{{{ 90 + 350 = 440 }}}
She started with $440
--------------------
check my math & get another opinion