Four ice cubes at exactly $0\backslash$deg C with a total mass of $50\mathrm{.}0$ g are combined with $120$ g of water at $90\backslash$deg C in an insulated container. $($A Hius $=6\mathrm{.}02$ kJ$/$ mol, water $=4\mathrm{.}18$ J$/$g$\backslash$deg C$)$ If not heat is lost to the surrounding, what is the final temperature of the mixture?