A total of 1kg of ice at -40 degree celsius is added to 1kg of water at 5 degree celsius. The specific heat of water is 4190 J/kg*K, the specific heat of ice is 2050 J/kg*K, and the latent heat of fusion of water is 3.34*10^5 J/kg. a) What is the final temperature of the mixture? b) How much of it is ice, and how much of it is water?