251.0 g of hot water at 96.0 °C are placed in a 0.2000 kg mug at 20.0 °C. The specific heat of the water is 4.00 J/g °C, while that of the mug is 0.80 J/g °C. Assuming no heat is lost to the surroundings, what is the final temperature of the system: mug + water?