First, the melting point of saltwater is much lower than fresh water. This is because the van der Waals forces between water molecules that hold the water in its solid state are weakened by the presence of the sodium+ and chloride ions that salt dissolves into in water. As a result, salt added to ice melts the ice.
Second, there is latent
heat involved in the transition from the solid to the liquid state; thus, when salt is added to ice, as the ice melts, it not only loses heat to provide the latent heat of liquifaction, but it also absorbs heat from its surroundings. Thus, not only is the saltwater cooler than the ice was, even though it is now a liquid because it is still above the liquifaction temperature of salt water, it has also cooled the air around it and any solid material it might be in contact with.
So if you want to draw heat out of your ice cream, add rock salt to the ice in the outside container, and it will melt the ice and draw out the the heat!