If you have a mixture of ice and water, before the net temperature can go up, the ice first has to be melted. The heat of fusion for ice is 6.01 kJ/mol.
You are putting in 3.2 Cal which is equivalent to 13.4 kJ since (1 Cal=4.184 kJ). So now we see how many mols of ice are melted by: 13.4...