Equilibrium temperature for brass shot dropped in water with aluminum cup

[Damien20]

Homework Statement

50 grams of brass shot are heated to 200C° and dropped into a 50-g aluminum cup containing 160-g of water. The temperature of the cup and water are 20 C°. what is the equilibrium temperature.

Homework Equations

mcΔT=mcΔT

The Attempt at a Solution

I've made a few different attempts but all of them are horribly wrong and long.

If anyone can drop a hint or a formula to work off that would be awesome.

 

[kuruman]

There are three items that reach thermal equilibrium, brass, aluminum and water. Assuming that no heat is lost to the environment, there should be three terms of the mcΔT type adding up to zero. The brass term will turn out negative because the temperature of the brass will have to drop. You need to look up the specific heats for the three items if you don't already have them.