Determine the resulting temperature when Ikg of ice at 0 degree Celsius is mixed with 9kg of water at 50 degree Celsius

heat of fusion ... 33.6 kJ/kg

specific heat ... 4.184 kJ/kg⋅ºC

let t equal the final temperature ... ºC

33.6 kJ + (t * 4.184 kJ) = 9 kg * (50 - t)ºC * 4.184 kJ/kg⋅ºC

solve for t