(b) Any resident of any school district, before accepting custody of a non-resident child of school age for compensation by order of court or by arrangement with an association, agency, or institution having the care of dependent or neglected children, must secure, from the superintendent of schools or school board in that district, a statement in writing that the child can be accommodated in the schools of the district or that the child can not be accommodated and the reasons therefor. If such statements are not furnished within two weeks after a request in writing has been made to the board's secretary, the superintendent of schools, the board's assent shall be assumed, and the child shall be admitted to the schools of the district as a pupil. If such statement sets forth conditions such as to exempt the district under this section from accepting the child as a pupil, and if such exemption is not disapproved on appeal by the Superintendent of Public Instruction, and if other arrangement for the child's schooling satisfactory to the district superintendent is not made, the child may not be placed in the district. Appeal from the claim of any school district for exemption, as provided in this section, may be taken to the Superintendent of Public Instruction, and his decision thereon after investigation shall be final.