26. If keeping for my horse be 114. per day, what will be the charge of 11 horses for the year?

Ans. 1921. 7s. 81d.

27. A person breaking owes in all 1490i. 5s. 10d. and has in money, goods, and recoverabie debts, 7841. 17s. 4d. if these things be delivered to his creditors, what will they get in the pounu?

28. What must 40s. pay toward is assessed at 83l. 12s. 4d. ?

20993 Ans. 10s. a 28987 • 33767 a tax, when 6521. 15s. 4d. Ans. 5s. 14. 15864°

15376

25

29. Bought 3 tuns of oil for 151l. 14s. 85 gallons of which being damaged, I desire to know how I may sell the remainder per galion, so as neither to gain nor lose by the bargain? Ans. 4s. 6d. T 30. What quantity of water must I add to a pipe of mountain wine, valued at 331. to reduce the first cost to 4s 6d. per gallon? Ans. 20 gallons.

31. If 15 ells of stuff, will 40 ells of the same stuff cost, being yard wide?

yard wide, cost 37s. 6d. what

Ans. 61. 13s. 4d.

32. Shipped for Barbadoes 500 pairs of stockings at 3s. 6d. per pair, and 1650 yards of baize at 1s. 3d. per yard, and have received in return 348 gallons of rum at 6s. 8d. per gallon, and 750lb. of indigo at 1s. 4d. per lb. what remains due upon my adventure? Ans. 241. 12s. 6d, 33. If 100 workmen can finish a piece of work in 12 days, how many are sufficient to do the same in 3 days?

Ans. 400 men.

34. How many yards of matting, 2ft. 6in. broad, will cover a floor, that is 27ft. long, and 20ft. broad?

Ans. 72 yards. 35. How many yards of cloth, 3qrs. wide, are equal in measure to 30 yards, 5qrs, wide? Ans. 50 yards.

36. A borrowed of his friend B 2501. for 7 months, promising to do him the like kindness; sometime after B had occasion for 300l. how long may he keep it to receive full amends for the favor?

Ans. 5 months and 25 days. 37. If, when the price of a bushel of wheat is 6s. 3d. the penny loaf weigh 9oz. what ought it to weigh when, wheat

is at 8s. 24d. per bushel?

Ans. 6oz. 13dr.

38. If 4 cwt. may be carried 36 miles for 35 shillings, how many pounds can I have carried 20 miles for the same money? Ans, 907lb..

39. How many yards of canvass, that is ell wide, will line 20 yards of say, that is 3qrs. wide? Ans. 12yds. 40. If 30 men can perform a piece of work in 11 days, how many men will accomplish another piece of work, 4 times as big, in a fifth part of the time? Ans. 600.

41. A wall, that is to be built to the height of 27 feet, was raised 9 feet by 12 men in 6 days; how many men must be employed to finish the wall in 4 days at the same rate of working?

42. If oz. cost 11. what will 1oz. cost?

Ans. 36.

Ans. 11, 5s. 8d. of her Ans. 2271, 12s. 1d.

43. If of a ship cost 2731. 2s. 6d. what is worth?

44. At 141. per cwt. what does 33lb. come to?

Ans. 10 d.

45. If of a gallon cost 1. what will of a tun cost?

46. A person, having of a coal mine, sells for 1711. what is the whole mine worth?

Ans. 1401. of his share

Ans. 3801.

47. If, when the days are 134 hours long, a traveller perform his journey in 35 days; in how many days will he perform the same journey, when the days are 11 hours long? Ans. 40 days.

48. A regiment of soldiers, consisting of 976 meh, are to be new clothed, each coat to contain 2 yards of cloth, that is 1fyd. wide, and to be lined with shalloon, yd. wide; how many yards of shalloon will line them?

Ans. 4531yds. 1qr. 29nl

PRACTICE.

PRACTICE is a contraction of the rule of three, when the first term happens to be an unit, or one; and has its name from its daily use among merchants and tradesmen, being an easy and concise method of working most questions, that occur in trade and business.

The method of proof is by the rule of three.

An aliquot part of any number is such a part of it, as, being taken a certain number of times, exactly makes that number,

GENERAL RULE.*

1. Suppose the price of the given quanty to be 11. 1s. or 1d. as is most convenient; then will the quantity itself be the answer, at the supposed price.

2. Divide the given price into aliquot parts, either of the supposed price, or of one another, and the sum of the quotients, belonging to each, will be the true answer required.

NOTE 1. When there is any fractional part, or inferior denomination of the quantity, take the same part of the price, that the given fraction, or inferior denomination, is of the unit, of which the price is given, and add it to the price of the whole number.

In like manner,

*The rule will be rendered very evident by an explanation of the example. In this example it is plain, that the quantity 526 is the answer at 11. consequently, as 3s. 4d. is the of 11. of that quantity, or 871. 13s. 4d. is the price at 3s. 4d. as 4d. is of 3s. 4d. so of 871. 13s. 4d. or 81. 15s. 4d. is the answer at 4d. And by reasoning in this way 41. 7s. 8d. will be shown to be the price at 2d. and 10s. 114d. the price at 1Now as the sum of all these parts is equal to the whole price (3s. 10 d.) so the sum of the answers, belonging to each price, will be the answer at the full price required, And the same will be true in any example whatever.

NOTE 2. The rule of practice is nearly superseded by the ase of Federal Money.

EXAMPLE.

What is the value of 526 yards of cloth at 3s. 104d. per

TARE AND TRETT.

TARE AND TRETT are practical rules for deducting cer tain allowances, which are made by merchants and tradesmen in selling their goods by weight.

Tare is an allowance, made to the buyer, for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c. at so much per cwt. or at so much in the gross weight.

Trett is an allowance of 4lb. in every 104lb. for waste, dust, &c.

Cloff is an allowance of 2lb. upon every 3cwt.

Gross weight is the whole weight of any sort of goods, to gether with the box, barrel, or bag, &c. that contains them. Suttle is the weight, when part of the allowance is deducted from the gross.

Net weight is what remains after all allowances are made.

CASE I.

When the tare is a certain weight per box, barrel, or bag, &c.

RULE.*

Multiply the number of boxes, or barrels, &c. by the tare, and subtract the product from the gross, and the remainder is the net weight required.

EXAMPLES.

1. In 7 frails of raisins, each weighing 5cwt. 2qrs. 5lb. gross, tare 23lb. per frail, how much net?

23x7=1cwt. 1qr. 21lb.

It is manifest, that this, as well as every other case in this rule, is only an application of the rules of proportion and prac fice