Latent Heat: Calculating Final State of Ice/Steam Mix

[fannge]

Homework Statement

Determine the final state when 20 g of 0 degree C ice and 10 g of 100 degree C steam are mixed together in an insulated container

Homework Equations

Q=mc(delta)T
Q=mL (L = latent heat)

The Attempt at a Solution

So, I know that I should set the heat change in ice equal to the heat change in steam, but how do I know what the heat changes are (including latent heat) if I don't know what the final state is?

 

[fannge]

Sorry, the bold template part appears to have posted twice...I don't know why (I'm a new member)

 

[rl.bhat]

Here ice melts and steam condenses. Both are in liquid state. Now proceed.