hide and show button based on selection from the drop box

hide and show button based on selection from the drop box

 Hi,
   I have the select drop box with Add and Remove value. 
  The default is all fields are showing up the page along with the submit button.  What i need is when i select Remove from the requestType box, all fields are hidden and only Remove button shows on the page
 My code didn't do what i want.
 1. When i first go the page, the Remove button is hidden which is correct.
 2. As soon as I select Add from the requestType field, the Remove button appears which is not correct.
 3. When I select Remove again, the submit button is gone which is correct.
 
 So,  my question is why the Remove button show when i select Add, am i missing anything from the code? can you please help.







 
//show and hide with dropbox when select Add/Remove from the request type
  $(document).ready(function(){
     $('.ReType').show();
      $('#requestType').change(function() {
        $('.ReType').hide();
        $('.' + $(this).val()).show();
     });
    });
 







//show remove button when remove option is selected from the request type
  $(document).ready(function(){
     $('.ReTypeRemove').hide();
      $('#requestType').change(function() {
        $('.ReTypeRemove').show();
        $('.' + $(this).val()).show();
     });
    });
 
   
    <table>
    <tr>
    <td>
      <select  id="requestType" name="requestType">
            <option value="">Choose Request Type</option>
            <option value="1">Add</option>
            <option value="2">Remove</option>
        </select>
      </td> 
      <td class="ReType 1">
        <select name="equipType" style="width: 18em;">
            <option value="">Choose Equipment Type</option>
            <option value="1">Company</option>
            <option value="2">Personal</option>
        </select>
        </td>
      
    <td class="ReType 1"> Start Date:<br> <cfinput type="datefield" name="startdate" id="startdate"  value="" /></td>
    <td class="ReType 1" >End Date:<br> <cfinput type="datefield" name="enddate" /></td>
    </tr>
    <tr>
        <td class="ReType 1"> <cfinput type="submit" name="submit" value="Submit" class="button"></td>
        <td class="ReTypeRemove 2"><cfinput type="submit" name="submit" value="Remove" class="button"></td>
    </tr>
  </table>