90.0g of copper (c=390J/kg*oC) at 80.0°C are added to 270g of water at 20.0°C. What is the final temperature of the mixture?

the sum of heats gained is zero. Heat gained = mass*c*(Tf-Ti)

Heatgainedcopper+heatgainedwater=0
90*ccopper*(Tf-80)+270*cwater*(Tf-20)=0
solve for Tf