A board of township trustees of any township that contains a local school district in which is located a tax exempt, state-owned lodge, may, by resolution, use the proceeds of the tax imposed under section 505.56 of the Revised Code for the benefit of such district if the board determines and states in such resolution that the existence of such lodge creates a serious financial burden on such district. Upon adoption of the resolution by a majority of the members of the board, the board may pay any part of the proceeds of such tax to such district.