The ceramic coffee cup in, with m = 116 g and c = 1090 J/(kg · K), is initially at room te...

The ceramic coffee cup in, with m = 116 g and c = 1090 J/(kg · K), is initially at room temperature (24.0 °C). If 225 g of 80.3 °C coffee and 12.2 g of 5.00 °C cream are added to the cup, what is the equilibrium temperature of the system? Assume tha t no hea t is exchanged with the surroundings, and that the specific heat of coffee and cream are the same as the specific heat of water.