A student places a \(100.0\text{ g}\) block of metal \(\text{X}\) (specific heat capacity \(0.40\text{ J}/(\text{g}\cdot^\circ\text{C})\)) at \(80.0^\circ\text{C}\) into direct thermal contact with a \(200.0\text{ g}\) block of metal \(\text{Y}\) (specific heat capacity \(0.30\text{ J}/(\text{g}\cdot^\circ\text{C})\)) at \(20.0^\circ\text{C}\) inside an insulated container of negligible heat capacity. Assuming no heat is exchanged with the surroundings, what is the final equilibrium temperature of the two metal blocks?