Question 418596
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Hi
balance of 'at least' $500 in your checking account for free checking
Let x represent how much the check will be
  $635.37 - x > $500
  $635.37 - $500 > x 
    $135.37 > x   Check has to be less than $135.37 
check may be $135.36 and still maintain free checking.

CHECKING our Answer***
 $635.37 - $135.36 = $500.01