Section 5. Income of school fund

Provision shall be made by law for the distribution of the income of the school fund among the several towns and cities of the state for the support of common schools therein, in some just proportion to the number of children and youth resident therein between the ages of four and twenty years, and no appropriation shall be made from the school fund to any city or town for the year in which said city or town shall fail to raise such tax; nor to any school district for the year in which a school shall not be maintained at least three months.