If you drop a 200 gram piece of metal with a temperature of 110 degrees celsius into 1000 grams of water at 25° celsius, what best describes what would occur?

Well, keep in mind q=msΔT, and that in these sorts of questions, -msΔT = msΔT (meaning that the energy lost by the metal as it cools down is gained by the water as it heats up). 

If you put something hot into something cold, what happens? The hot metal would cool down, while the water would heat up, and given some time, both the metal and water would be at the same temperature. The metal would have cooled down, while the water would have heated up.