The government of an agricultural high school established by two counties shall be vested in the board of trustees, six to be selected by each county in the same manner designated in Section 37-27-7 and the thirteenth to be chosen by the twelve so selected. In case no one receives a majority of all the votes of the twelve members the thirteenth trustee shall be selected by lot from the two highest in voting. The terms of the six trustees from each of the said counties shall be as provided in Section 37-27-7, and the thirteenth trustee shall serve for a term of four years. The government of an agricultural high school established by more than two counties shall be vested in a board of trustees composed of six trustees from each county selected in the manner provided by law. A majority of the board of trustees of an agricultural high school shall constitute a quorum. A county or counties co-operating with an established agricultural high school may be represented on the board of trustees of such school by the county superintendent of education and one trustee chosen by the board of supervisors of such county.
In levying the taxes provided by law, each county shall act independently, but if one county joining another or others in establishing a school, shall decline to levy the tax, the other county or counties may nevertheless do so, in which event the joint plan shall thereby be abandoned in so far as the county failing to levy the tax is concerned, and the county or counties levying the tax may proceed in the management and control of the school. In case two or more counties join in establishing or maintaining a joint school, and each county levies a special tax as provided by law, the tax collector of each county shall collect the tax in his county and pay the same into the county depository of his county. In paying the expenses of either school, the trustees shall draw on the funds of each county provided for that school, equitably as near as may be in proportion to the amount of tax collected for that school by each county; if no tax is levied, the trustees shall draw on any fund in the depository of the respective counties provided by law for the support of that school in proportion to the number of educable children attending such school for each county.