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?

1 answer

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}.