(2) If all positions in the governing body of a city become vacant and if the charter of the city does not provide otherwise, the governing body of the county in which the city maintains its seat of government immediately shall appoint the number of persons sufficient to constitute a quorum for the transaction of city business. The persons appointed by the governing body of the county shall appoint a sufficient number of persons to fill any remaining vacancies existing in the governing body of the city. All persons appointed under this subsection shall serve until successors are elected and qualified to serve. [Amended by 1981 c.173 §7]