100 g of water at 5 degrees celsius is added to a coffee cup containing 400 g of water at 45 degrees celsius. What is the final temperature of the

100 g of water at 5 degrees celsius is added to a coffee cup containing 400 g of water at 45 degrees celsius. What is the final temperature of the system? Assume that no heat is lost to the surroundings and that the specific heat capacity of liquid water si 4.184 J/C•g.

Please show all work on how to solve the following problem, as well as rationale behind your answer. Thank you