When an established site and buildings are used for a district school, forestry camp, or other facility or facilities created under section 2151.65 of the Revised Code the joint board of county commissioners organized under section 2151.65 of the Revised Code shall cause the value of such site and buildings to be properly appraised. This appraisal value, or in case of the purchase of a site, the purchase price and the cost of all betterments and additions thereto, shall be paid by the counties comprising the district, in proportion to the taxable property of each county, as shown by its tax duplicate. The current expenses of maintaining the school, forestry camp, or other facility or facilities and the cost of ordinary repairs thereto shall be paid by each such county in accordance with one of the following methods as approved by the joint board of county commissioners:
The board of trustees shall, with the approval of the joint board of county commissioners, adopt rules for the management of funds used for the current expenses of maintaining the school, forestry camp, or other facility or facilities.
R.C. §2151.77