如何合并并求和具有相同键的简单Laravel Collections？

我有三个键名相同、对应数值不同的Laravel Collections，需要将它们的对应键值求和。示例如下：

$broadInventory = collect(['horse' => 300, 'cow' => 400, 'entropy' => 400]);
$ericaInventory = collect(['horse' => 10, 'cow' => 20, 'entropy' => 30]);
$johnsonInventory = collect(['horse' => 5, 'cow' => 9, 'entropy' => 3]);

期望得到的结果为：

collect(['horse' => 315, 'cow' => 429, 'entropy' => 433]);

本以为操作很简单，实际却比预想的难！

编辑：感谢Abdulla的帮助，我最终写出了如下实现代码：

private function sumCollections(Collection ...$collections) {
    $merge = collect($collections);
    $keys = $collections[0]->keys();

    return $merge->pipe(
        static function ($item) use ($keys) {
            return collect([
                $keys->mapWithKeys(fn($key) => [$key => $item->sum($key)])
            ]);
        }
    );
}

内容的提问来源于stack exchange，提问作者Jason Tangson