It shall be the duty of the commissioner to deliver to the commissioner of management and budget a certificate for each district entitled to receive state aid under the provisions of this chapter. Upon the receipt of such certificate, it shall be the duty of the commissioner of management and budget to issue a payment to the district for the amount shown by each certificate to be due to the district. The commissioner of management and budget shall transmit such payments to the district together with a copy of the certificate prepared by the commissioner.