[whirlofwings]

The question reads: Four ice cubes at exactly 0 degrees C having a total mass of 53.0 g are combined with 110 g of water at 76 degrees C in an insulated container.

If no heat is lost to the surroundings, what will be the final temperature of the mixture?

I've started my work as such:

120 x (77-T) = 53 x (80 + T)
9, 240 - 120T = 4,240 + 53T
5,000 = 173T
T = 28.90

However, this is not the correct answer. I asked a friend for help, and they mentioned using the Q = m Delta Hf formula first, then Q = m CP Delta T.

[Borek]

And they were right, you have to melt the ice before warming up produced water.