A house containing three rooms needs recarpeting. The rooms are all 12'-0" wide by 24'-0" long. Carpet costs $30.50 per square yard and installation on three rooms is $125 per room. What is the total cost to carpet the three rooms?

To find the total cost of carpeting the three rooms, we first need to calculate the area of one room.

The width of the room is 12'-0", which is equivalent to 12/3 = <<12/3=4>>4 yards.
The length of the room is 24'-0", which is equivalent to 24/3 = <<24/3=8>>8 yards.

The area of one room is 4 yards * 8 yards = <<4*8=32>>32 square yards.

Since there are three rooms, the total area to be carpeted is 3 rooms * 32 square yards/room = <<3*32=96>>96 square yards.

The cost of the carpet is $30.50 per square yard, so the cost of the carpeting is $30.50/sq yd * 96 sq yd = $2928.

The installation cost for three rooms is $125 per room, so the installation cost is $125/room * 3 rooms = $375.

Therefore, the total cost to carpet the three rooms is $2928 + $375 = $<<2928+375=3303>>3303. Answer: \boxed{3303}.