You mix 50.0g of cold water at 0.00°C with 75.0g of hot water at 85.00°C. What is the final temperature of the mixture?

heat lost by hot water + heat gained by cold water = 0

[mass cold water x specific heat H2O x (Tfinal - Tinitial)] + [mass hot water x specific heat H2O x (Tfinal-Tinitial)] = 0

You have all of the numbers except for Tfinal. Substitute and solve for Tf.