Final Temperature of Hot Metal in a Calorimeter

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Homework Statement


A copper vessel of 100 gr contains water, 150 gr, and 8 gr of ice. a 100 gr piece of lead at 2000C is thrown in. what's the final temp'

Homework Equations


Specific heat copper: 0.093
Specific heat lead: 0.031
Melting heat water: 79.7[cal/gr]

The Attempt at a Solution


On the left is the calorie change in the lead:
##100\cdot 0.031(200-T)=(158+100\cdot 0.093)T+8\cdot 79.7##
T comes out small and negative
 
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I solved, it doesn't melt the whole ice, i cannot delete the thread, i don't know how to do it