Upon completion of the hearing, in case the board of trustees shall determine that the petition contains the necessary number of signers sufficient to satisfy the statute, such decision and determination shall be final and a special ordinance shall be drafted by the board of trustees, in conformity with section 80.110; provided, that whenever the majority of the owners of the property liable to taxation therefor residing in such town or village shall remonstrate against the sprinkling, oiling, or otherwise treating of any street, avenue, alley, or streets, avenues, alleys and such public places, then the board of trustees shall have no power to let a contract therefor or to perform the work of sprinkling, oiling or otherwise treating on behalf of such town or village. The provisions of the said ordinance shall be executed by the board of trustees and an accurate account of the cost thereof kept by the town or village clerk, or shall be contracted for annually by the board of trustees at such time and under such terms as shall be provided for by ordinance or until such ordinance is repealed upon petition of seventy percent or more of resident property owners.