Question 1103813
Let {{{ x }}} = the amount she had when 
she entered the mall
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{{{ x - 4 }}} = amount after buying cone
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{{{ (3/4)*( x - 4 ) }}} = amount after spending
1/4 on nail polish
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{{{ (2/3)*(3/4)*( x - 4 ) }}} = amount after lending
1/3 to friend
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{{{ (2/3)*(3/4)*( x - 4 ) = 8 }}}
{{{ (1/2)*(x - 4 ) = 8 }}}
{{{ x - 4 = 16 }}}
{{{ x = 20 }}}
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She entered the mall with $20
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check:
{{{ 20 - 4 = 16 }}}
{{{ (3/4)*16 = 12 }}}
{{{ (2/3)*12 = 8 }}}
OK