You could always put a if statement around, cart->get_total(); ?>, in you cart.php file. Not sure if it's cart php but something like that.
Just be aware. After an update this will be gone. So please create this in your child theme.
Something like:
$something = echo $woocommerce->cart->get_total();
global $woocommerce;
if ( sizeof( $woocommerce->cart->cart_contents) == 1 ) :
$somthing = '';
endif;
<strong>$somthing</strong>