You can do something similar with Eloquent and Query Builder, assuming you have a model called Food:
$foods = Food::join('food_user', 'foods.id', '=', 'food_user.food_id') ->join('users', 'food_user.user_id', '=', 'users.id') ->join('mealtypes', 'food_user. mealtype_id', '=', 'mealtypes.id') ->get();
There is also good documentation about the query builder there: http://www.laravel.com/docs/queries
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