The governing board shall require any officer entrusted with money belonging to an adjustment school or to any of the minors entrusted to its care, or any officer placed in a position of trust and responsibility in the custody of property or in the handling of supplies belonging to the school, to file with the board a bond with sureties approved by the board and in a sum that it may determine, conditioned upon the faithful performance of the duties required, and upon the faithful accounting of all money and property coming into his or her hands or under his or her control by virtue of his or her office. The premiums on the bonds shall be a part of the cost of maintaining the adjustment school.