Not sure I understand this. Yes energy will have to come from the water to raise the temp of the ice from -15 to 0, but it won't cause any phase change of the water , there's too much of it.
.884 - .450 = .434 kg. Unless I'm really missing something...
A Styrofoam bucket of negligible mass contains 1.75 kg of water and 0.450 kg of ice. More ice, from a refrigerator at -15.0∘C, is added to the mixture in the bucket, and when thermal equilibrium has been reached, the total mass of ice in the bucket is 0.884 kg.
Assuming no heat exchange with the surroundings, what mass of ice was added?
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