A $0\mathrm{.}0425$ kg ice cube at $30\mathrm{.}0$C is placed in $0\mathrm{.}517$ kg of $35\mathrm{.}0$C water in a very well insulated container. What is the final temperature? The latent heat of fusion of water is $79\mathrm{.}8$ kcal$/$kg$,$ the specific heat of ice is $0\mathrm{.}50$ kcal$/($kg $$C$),$ and the specific heat of water is $1\mathrm{.}00$ kcal$/($kg $$C$).$

wrong answers $23\mathrm{.}106,27\mathrm{.}22$