Deriving Specific Heat Equations

[jasmine689]

Homework Statement

Derive the Following Equations:
c = [(m_w*c_w + m_c*c_al) (T_e - T_i)] / m_s*(T_s - T_e)
and
L = (m_w*c_w + m_c*c_al) * (T_i - T_e) - m_I*c_w * [(T_e- T_m)/m_I]

Homework Equations

T_i - initial temp of water and calorimeter
T_m - melting temp of ice
T_e - equilibrium temp of system
m_w- mass of water
m_c - mass of calorimeter
m_I - mass of ice
c_w - specific heat of water
c_al - specifical heat of aluminum
L - unknown heat of fusion

The Attempt at a Solution

...trying to receive help from my teacher's assistant, but not being able to do so :[

Any attempts at either equations, wrong or right, will be fully appreciated.

 

[jasmine689]

PLEASE ANY kind of help, even if it's not completed, would be REALLY appreciated :)

...I need this done in by 3pm today...