The common council of any city having a population of over seventy thousand but less than two hundred fifty thousand inhabitants may adopt a resolution by a majority vote establishing a home school for the purpose of giving instruction in the trades, industrial, agricultural and homemaking subjects in addition to instruction in public school subjects to children of the city and other children not more than eighteen years nor less than eight years of age who may be admitted thereto as hereinafter provided. Such school shall be known as the Home School of……………..(Name of city establishing school).