[xxxxsharpie]

Given:

What is the final temperature after a 10.8 g piece of ice is placed into a styrofoam cup containing 116 g of hot water at 77.2oC. The mass of the ice, and the mass and initial temperature of the hot water are the same as in the two previous parts of this question.

I'm pretty sure my equation will look something like...

116(T_F-77.2)(4.184) = 10.8(T_F -0)(4.184)
or assuming (4.184) cancels...
116(T_F-77.2) = 10.8(T_F -0)

I feel like i need to incorporate the heat required to melt the ice as well, so it should look something like

116(T_F-77.2)(4.184) = 10.8(T_F -0)(4.184) + 3596.4

can anyone tell me if this is correct, and if it is, I'm just having trouble doing the algebra.  Which in that case, should I distribute, then solve?

[orgoclear]

Is the initial temperature of the ice given ?