A glass of water with a mass of 0.45 kg at 20C is to be cooled to

Question:

A glass of water with a mass of 0.45 kg at 20°C is to be cooled to 0°C by dropping ice cubes at 0°C into it. The latent heat of fusion of ice is 334 kJ/kg, and the specific heat of water is 4.18 kJ/kg·°C. The amount of ice that needs to be added is
(a) 56 g
(b) 113 g
(c) 124 g
(d) 224 g
(e) 450 g