Question 934893
If she spent 1/3 of her money to begin with, that
means she had 2/3 of her money left for everything else
---------------------
Let {{{ x }}} = the amount she started with
{{{ (2/3)*x = 46 + 26 + 81 + 9 }}}
( the {{{ 9 }}} is the money she had left )
Multiply both sides by {{{ 3 }}}
{{{ 2x = 3*162 }}}
{{{ 2x = 486 }}}
{{{ x =243 }}}
She started with $243
---------------------
check:
Carlene spent one third of her money on an mp3 player.
{{{ (1/3)*243 = 81 }}}
So, she had
{{{ 243 - 81 = 162 }}} left
{{{ 162 - 46 = 116 }}}
{{{ 116 - 26 = 90 }}}
{{{ 90 - 81 = 9 }}}
She has $9 left
OK