A Styrofoam cup holds 0.302 kg of water at 22.5°C. Find the final equilibrium temperature (in degrees Celsius) after a 0.123 kg block of iron at 90.1°C is placed in the water. Neglect any thermal energy transfer with the Styrofoam cup. The specific heats of water and iron are  cwater = 4186 J/(kg · °C) and cFe = 448 (kg · °C).  I've tried this before and my answers (26.7 and 27.6 were incorrect).

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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A Styrofoam cup holds 0.302 kg of water at 22.5°C. Find the final equilibrium temperature (in degrees Celsius) after a 0.123 kg block of iron at 90.1°C is placed in the water. Neglect any thermal energy transfer with the Styrofoam cup. The specific heats of water and iron are  cwater = 4186 J/(kg · °C) and cFe = 448 (kg · °C). 

I've tried this before and my answers (26.7 and 27.6 were incorrect).

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