The board of directors of any youth camp or home may contract with the board of county commissioners of any county for the payment of expenses for any youth residing in the county of such board of county commissioners, when such youth is placed in a youth camp or home. In the absence of such a contract, no youth shall be so placed unless he resides in one of the contracting counties or unless such expenses are paid by the state board of social welfare or some person or agency other than one of the contracting counties. Such expenses shall be determined by the board of the directors from time to time and shall be in an amount which is sufficient to defray all costs and expenses of the youth camp or home allocated and apportioned to such youth.
K.S.A. 38-550