A dispensing system including a plurality of covered dispensers and an uncovered dispenser for readily dispensing sheet materials in a rapid and safe fashion. Each covered dispenser includes: a tray surface, arcuate in cross-section, for receiving a roll of sheet material; a cutting surface fixedly attached to a front edge of the tray; a counterweighted cover, having a front edge and a back edge, with an offset pivot point above the principal rotational axis of the tray; the counterweight being integral to the back edge of the cover; and a blade guard fixedly attached to the cover on a side opposite the counterweight. Each uncovered dispenser includes: a dowel support; and a dowel, whereby a roll of sheet material is mountable.