PHP Sum Total of Elements from Checkboxes

I can output the values of the check boxes which are checked, but I want to get a total. I have tried to use sum() to total the values selected but I just keep getting double 0 0.

My checkbox.php

<?php
 if(isset($_POST['submit'])){
 if(!empty($_POST['shipping'])) {

 ?>
 <div class="container"> <?php
 //Loop through shipping array to fetch individual shipping so that we     can use them
 echo "<h2> Your Shipping Costs are: </h2>";
 foreach($_POST['shipping'] as $shipping) {
 //Print all the shipping
  echo $shipping;
  }

  }
  else{
  echo "<b>Please Select at least One Option.</b>";
  }
  ?></div><?php }
   ?>

then my html

 <div class="container">
    <form action="checkbox.php" method="post">

       <label class="head">Select Your Timezone or Other Shipping  Options:</label><br/><br/>
        <input type="checkbox" name="shipping[]" value="$190.00"> <label>Freight to Eastern USA</label><br/>
       <input type="checkbox" name="shipping[]" value="$245.00"><label>Freight to Western USA</label><br/>
       <input type="checkbox" name="shipping[]" value="$75.00"><label>Residential Devivery</label><br/>
       <input type="checkbox" name="shipping[]" value="$100.00"><label>Liftgate Service</label><br/>
       <input type="checkbox" name="shipping[]" value="$0.00"><label>Will Call</label><br/><br/>
       <input type="submit" name="submit" Value="Add to Shopping Cart"/>

    </form>

All help greatly appreciated.