Session cart value not becoming null

When I remove my items from my cart page the item gets removed from the cart but the cart badge that I have next to my menu still has a value instead of nothing.

For Example: I add two products to my cart. My cart badge now says 2. So I now go to my cart page and remove both items, but my cart badge still says 2. Or if I just remove 1 item, instead of the cart badge changing to 1 it still says 2.

My menu.blade.php

<a href="{{ route('product.shoppingCart') }}">
        cart
        <span class="badge">
          {{ Session::has('cart') ? Session::get('cart')->totalQty : '' }}
        </span>
      </a>

my cart.blade.php

@extends('layouts.public')
@section('content')
    <div class="content_wrapper">
        @if(Session::has('cart'))
            <div class="container">
                <div class="cart_table">
                    <div class="table">
                        <div class="thead">
                            <div class="tr">
                                <div class="th border-bottom">Image</div>
                                <div class="th border-bottom">&nbsp</div>
                                <div class="th border-bottom">Qty</div>
                                <div class="th border-bottom">Unit Price</div>
                                <div class="th border-bottom">Total Price</div>
                                <div class="th border-bottom"></div>
                            </div>
                        </div>

                        <div class="tbody">
                            @foreach($products as $product)
                                <?php
                                    $image = getImagesArray($product['item']['image']);
                                ?>

                                <div class="tr">
                                    <div class="td border-bottom" data-title="Image">
                                        @if(!empty($image))
                                            <img src={!! asset("product_images/thumbs/$image[0]") !!}>
                                        @endif
                                    </div>

                                    <div class="td border-bottom" data-title="Title">
                                        <strong>{{ $product['item']['title'] }}</strong>
                                    </div>

                                    <div class="td border-bottom" data-title="Qty">
                                        <div class="quantity_box">
                                            <div class="qty_number">
                                                <input type="text" value="{{ $product['qty'] }}">
                                                
                                                <div class="inc button">
                                                    <a href="{{ route('product.addToCart', ['id' => $product['item']['id']]) }}" class="">
                                                        +
                                                    </a>
                                                </div>

                                                <div class="dec button">
                                                    <a href="{{ route('product.removeFromCart', ['id' => $product['item']['id']]) }}" class="">
                                                        -
                                                    </a>
                                                </div>
                                            </div>
                                        </div>
                                    </div>

                                    <div class="td border-bottom" data-title="Unit Price">
                                        <span class="label label-success">R {{ $product['item']['price'] }}</span>
                                    </div>

                                    <div class="td border-bottom" data-title="Total Price">
                                        <span class="label label-success">R {{ $product['price'] }}</span>
                                    </div>
                                </div>
                            @endforeach
                        </div>
                    </div>
                </div>

                <div class="cart_subtotal text-right">
                    <div class="subtotal_text">
                        Subtotal
                    </div>

                    <div class="subtotal_price text-right">
                        {{ $totalPrice }}
                    </div>
                </div>
            </div>
        @else
            <div class="row">
                <div class="col-sm-6 col-md-6 col-md-offset-3 col-sm-offset-3">
                    <h2>No items in cart!</h2>
                </div>
            </div>
        @endif
    </div>
@stop

Cart.php

<?php

namespace App;


class Cart
{
    public $items = null;
    public $totalQty = 0;
    public $totalPrice = 0;

    public function __construct($oldCart)
    {
        if($oldCart)
        {
            $this->items = $oldCart->items;
            $this->totalQty = $oldCart->totalQty;
            $this->totalPrice = $oldCart->totalPrice;
        }
    }

    public function removeItem($id)
    {
        $this->items[$id]['qty']--;
        $this->items[$id]['price'] -= $this->items[$id]['item']['price'];
        $this->totalPrice -= $this->items[$id]['item']['price'];

        if($this->items[$id]['qty'] <= 0)
        {
            unset($this->items[$id]);
        }
    }
}

my controller

public function removeItem($id)
    {
        $oldCart = Session::has('cart') ? Session::get('cart') : null;
        $cart = new Cart($oldCart);
        $cart->removeItem($id);

        Session::put('cart', $cart);

        return redirect()->back();
    }