WooCommerce search products between price range using WP_Query

I am currently building my own custom advanced search functionality for a WordPress website with Woocommerce. You should be able to search using filter:

• Category
• Min/Max price

My current progress is attached below. This enables you to specify category slugs in the URL parameter. Returned will be posts that matches:

/**
 * Default arguments
 * @var array
 */

    $query = array(
        'post_status' => 'publish',
        'post_type' => 'product',
        'posts_per_page' => 10,
    );

/**
 * Category search
 */

    if(isset($_GET['categories']) && $_GET['categories']) {
        /**
         * Comma seperated --- explode
         * @var [type]
         */

            $categories = explode(',', $_GET['categories']);

        /**
         * Add "or" parameter
         */

            $query['tax_query']['relation'] = 'OR';

        /**
         * Add terms
         */

            foreach($categories as $category) {
                $query['tax_query'][] = array(
                        'taxonomy' => 'product_cat',
                        'field' => 'slug',
                        'terms' => $category,
                    );
            }
    }
/**
 * Fetch
 */

    $wp_query = new WP_Query($query);

Now, while this works great when you're searching for categories it seems it gets way more complicated when you need to search through prices.

In raw SQL, something like below would work:

SELECT DISTINCT ID, post_parent, post_type FROM $wpdb->posts
INNER JOIN $wpdb->postmeta ON ID = post_id
WHERE post_type IN ( 'product', 'product_variation' ) AND post_status = 'publish' AND meta_key = '_price' AND meta_value BETWEEN 200 AND 1000

I have no idea how I could implement this using WP_Query.

The solution, inspired by @Niels van Renselaar, but more clean:

$query = array(
    'post_status' => 'publish',
    'post_type' => 'product',
    'posts_per_page' => 10,
    'meta_query' => array(
        array(
            'key' => '_price',
            'value' => array(50, 100),
            'compare' => 'BETWEEN',
            'type' => 'NUMERIC'
        )
    )
);

$wpquery = WP_Query($query); // return 10 products within the price range 50 - 100