An energy efficient and quiet air cooling system for a building structure is provided. The air cooling system includes an evaporator system mounted in the wall of the building, a remotely mounted fan, an air intake, and a sound and heat insulating duct. The fan is mounted in the attic and configured to draw air from the living area of the building through the sound insulating duct with sufficient power to create a negative static pressure in the living area. The negative static pressure in turn causes outside air to flow through the evaporator system which removes heat from the outside air. The cooled air is in turn drawn into the building and pulled into the attic through the duct and expelled through the attic.