_September 24._ Last night we slept in a large room containing five beds. It was proposed that one of these should hold two of us. My companions went together, and I congratulated myself on {50} monopolizing one of the beds,--but here I reckoned without mine host. About midnight a man entered the room, groped all the beds, and finding that I was alone, tumbled in beside me. Such is a common occurrence, I am told, in this country, but it is the first time that I have met with it. In the morning I discovered that my neighbour was a person of good address, and respectable appearance. After resuming our journey, we came up to a family rising from their beds by the embers of a fire in the wood. The father fired off a rifle, which it would seem he had kept in readiness for defence. There can be no great objection to sleeping in the woods, in such fine weather. From several heaps of ashes that we have seen by the sides of the road, it is evident that the practice is common, even where taverns are numerous. Emigrants carry their moveables in one horse carts, or two or four horse waggons, as the quantity of goods may require. They carry much of their provisions from Philadelphia, and other towns, and many of them sleep in their own bed clothes, on the floors of bar-rooms in the taverns. For this kind of lodging they usually pay twenty-five cents a family. The dollar is the integer of money in the United States, as universal as the pound is in Britain. In the former country, cents or hundredth parts of a dollar are the lowest fractional parts in use. Rating the dollar at four shillings and sixpence sterling, the cent of America is eight per cent, more than the halfpenny of Britain. The fractional divisions of the dollar, are ¹⁄₂, ¹⁄₄, ¹⁄₈ and ¹⁄₁₆, or 50 cents, 25 cents, 12¹⁄₂ cents, and 6¹⁄₄ cents. Silver coins representing all these quantities are in circulation. The peculiarity in the convenience of quantities {51} derived from continual bisection, is known to all who are acquainted with the theory of numbers. It is impossible to say whether it is cheaper to travel with a family, by purchasing a waggon and horses at Philadelphia, or by hiring one of the waggons that pass regularly to Pittsburg. This depends on the price paid for carriage at the particular time, and also on that to be paid for waggon and horses at Philadelphia. In the one case, the waggoner is paid for the weight of the goods, and for that of the persons who ride; and in the other case, the waggon and horses may be expected to sell at, or under, half the price paid for them at the sea-port. The great number of family waggons now on the road, amounts to a presumption that this mode of travelling is now thought to be the cheaper.