Question 751273
Let {{{ x }}} = amount of money she started with
After buying scarf for $5, she has {{{ x - 5 }}} remaining
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She spent ½ of her remaining money on jogging shoes, or
{{{ ( x-5 ) / 2 }}}, and she has {{{ ( x-5 )/ 2 }}} left.
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She bought lunch for $2.00
She has {{{ ( x-5 ) /2 - 2 }}} left
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She spent ½ of the remaining money on a present, so
she has  {{{ ((( x-5 ) /2 - 2 )) / 2 }}} left
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She has $10 left, so
 {{{ ((( x-5 ) /2 - 2 )) / 2 = 10 }}} 
{{{ ( x-5 ) /2 - 2  = 20 }}}
{{{ ( x-5 ) / 2 = 22 }}}
{{{ x - 5 = 44 }}}
{{{ x = 49 }}}
She started with $49
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check:
After buying scarf for $5, she has $44 remaining
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She spent ½ of her remaining money on jogging shoes, or
$22, and she has $22 left.
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She bought lunch for $2.00
She has $20 left
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She spent ½ of the remaining money on a present, so
she has $10 left
OK