No money shall be appropriated or expended under section 450.21 by any city of the first class unless the collections are kept and maintained within the city for the general use and benefit of the public, under such reasonable rules and regulations as shall be first approved by the mayor of the city; nor unless the corporation or association owning or controlling the collections shall first provide by its articles of incorporation that the mayor and at least two other officials of the city shall be ex officio members of its governing board.