Assuming you mean the tiles are 16 inches square - you would need 169 tiles.
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Each 16 inch tile is 1.78 square feet. You would need 169 tiles, plus some for spoilage.
175
300 sq ft X 144 sq in/sq ft = 43200 sq in 43200 sq in /(16 in X 16 in) = 169 tiles That is true if the tiles fit exactly. If you have to cut some tiles because the length or width of the floor is not an exact multiple of 16 inches, then you may need more.
75 Get extra for breakage.
First we need to calculate the square footage of the room. 15*20 = 300 square feet Now we need to know how many square feet each tile covers. 20" = 1.667~ square feet 1.6672 = 2.78 square feet. Now we divide the area of the tiles into the area of the room. 300/2.78 = 108 tiles. This gives the exact number of tiles you need mathematically. Realistically you need to account for cutting and breaking. It's safe to round that up to 120 tiles.