16 What quantity of sugar will 237. 10s. buy, at 26s. 8d. per hundred weight? answer 17 C. 2qr. 14lb. 17 What d., 518lb. of tea come to, if 90lb. cost 181. and what is it per pound? answer 103l. 12s. at 4s. per th. 18 If 177. 12 C. of iron cost 440 dollars, what is that for two hundred weight?

answer 2,50 19 If a man's daily income be 2 dols. 40cts. how much is that per annum ? answer 876 dols. 20 Bought 14 bags of hops, each containing 546lb. for 48 English guineas; what was the value of 1 hundred weight in Pennsylvania currency? answer 11. 4s. 7d.t 21 What sum will pay for 3 casks of brandy, containing 58, 62, and 65 gallons, at 89 cents per gallon?

answer 165 dollars 9 cents 5 mills. 22 What will 4 pieces of cloth come to, containing 23, 24, 25, and 27 yards, at 72 cents per yard? answer 71,28 23 Bought four pieces of linen, two of which contained 26 yards each, and each of the others 233 yards; what did they come to, at 44 cents per yard? answer 44,22

24 A draper bought 242 yards of broad cloth for 2541. 10s.; for 86 yards of which he gave 21s. 4d. per yard; what was the price per yard of the remainder? answer 20s. 10d.

25 What must be paid for 53 ells English 1qr, of Holland, at the rate of 7s. 9d. per yard ? ans. 251. 18s. Id.‡ 26 What quantity of sugar may be bought for 26l. 10s. 4d. when the price of 43C. 2qr. is 159l. 2s.

answer 7C. Iqr. 27 A person failing in trade, owes 9771. and the inventory of his effects amounts to but 420l. 6s. 3d.; how much will this produce per pound to his creditors? answer 8s. 7d.1

28 What must be given for a piece of silver weighing 73lb. 5oz. 15dwt. at 5s. 9d. per ounce ? answer 2531. 10s. Od. 29 Bought 2 casks of raisins, each weighing 3C. 1gr. 7lb. neat; what will they cost, at 21. 6s. 6d. per hundred weight? answer 231. 2s. Id.f

30 What will a tax upon 763l. 15s. be, at the rate of 3s. 6d. per pound? answer 133l. 13§. 1d. 31 How many ells English of Holland may be bought for 25l. 18s. 1d., at 7s. 9d. per yard? answer 53 E. 1qr. 32 What will 1gr. 1na. of velvet cost, at 18s. 6d. per answer 5s. 9d. 1gr.4

yard?

33 A bankrupt. compounds with his creditors for 8s. 7d.3. per pound, and at that rate pays them 420l. 6s. 3d.; how much was he indebted ? answer 9771. 34 What is the value of a silver tankard, weighing 1lb. 7oz. 14dwt. at 6s. 4d. per ounce ? answer 6l. 4s. 9d 35 What must be paid for 7 casks of prunes, each weighing 2C. 1qr. 14lb. at 2l. 19s. 8d. per hundred weight? answer 49l. 11s. 11d.j

36 At 1l. 7s. 8d. per acre, what is the annual rent of 173A. 2R. 14P.? answer 2401. 2s. 7d.

.

37 If 5 yards of cloth cost 14s. 2d. what must be given for 9 pieces, containing each 21yds. 1gr. ans. 27l. 1s. 10d.

38 If a person's estate be worth 3858 dollars 24 cents, a year, out of which he saves 1200 dollars, how much per day will the remainder be? answer 7, 8+ 39 If a man's annual income be 1333 dollars, and he expends daily 2 dollars 14 cents, how much will he save at the year's end? answer 551,90 40 If a staff, 4 feet long, cast a shade (on level ground) 7 feet; what is the height of that steeple, whose shade, at the same time, measures 198 feet? answer 113ft.

41 The earth being 360 degrees in circumference, turns round on its axis in 24 hours; how far are the inhabitants at the equator carried in one minute, a degree there being 691 miles ? answer 17M 3fur.

42 A merchant would lay out in spices 1498 dollars, viz. cloves at 53 cents per pound, mace at 94 cents, cinnamon at 40 cents, and nutmegs at 27 cents, and he would have an equal quantity of each sort; what must that quantity be P answer 700lb. of each sort. 43 A goldsmith bought of a merchant 14lb. 3oz. 8dwt. of gold, for 1371 dollars 20 cents, how much per ounce ? answer 8 dollars.

44 How many reams of paper at 1 dollar 66 cents, 1 dollar 97 cents, and 2 dollars 31 cents per ream, and of each an equal number, may be purchased with 528 dollars 66 cents. answer 89 reams of each sort. 45′ If 9C. 3qr. of sugar cost 271. 17s. 6d. what will 2C. 1gr. 11lb. cost? answer 6l. 14s. 3d. 46 Sold 59C. 1gr. 141. of sugar, at 28s. 7d. per hundred weight, what was the amount? answer 841. 17s. id.

47 Bought

47 Bought 476A. 3R. 28P. of land, at 9 dollars per acre; the value thereof is required P facit 4292,32 5m.

INVERSE PROPORTION.

Inverse proportion is that in which the third term is greater than the first, and requires the fourth to be less than the second; or, the third less than the first, and requires the fourth to be greater than the second: For, as often as the third term is greater or less than the first. so many times will the fourth be respectively less or greater than the second. Thus;

Multiply the first and second terms together, and divide the product by the third term; the quotient will be the fourth term, or answer.

1 If 48 men can build a wall in 24 days; how many men

can do the same in 192 days?

D. M. D.

As 24.. 48 :: 192

2 What quantity of shalloon, that is 3qrs. of a yard wide, will line 7 yards of cloth, that is 11 yard wide?

answer 15 yards. 3 If 100 men can finish a piece of work in 12 days, how many are sufficient to do it in three days? ans. 400 men.

4 How much in length, that is 44 inches broad, will make a square foot ?

answer 32 inches. 5 How many yards of matting, 2 feet 6 inches broad, will cover a floor that is 27 feet long and 20 broad?

answer 72 yards.

6 How many yards of cloth 3qrs. wide are equal in measure to 30yds. of 5qrs. wide? answer 50 yards. 7 If 100. principal in 12 months gain 67. interest, what principal will gain the same in 8 months?

answer 150l. 8 How many yards of paper, 1 yards wide, will be sufficient to hang a room, which is 20 yards in circumference, and 4 in height? answer 64 yards. 9 How many men must be employed to finish a piece of work in 15 days, which 5 men can do in 24 days?

answer 8 men.

answer 15 days.

10 In how many days will 8 men finish a piece of work, which 5 men can do in 24 days? 11 If a footman perform a journey in 3 days, when the days are 16 hours long, how many days will he require, of 12 hours long, to perform the same in? answer 4 days. 12 If 6 men can reap a field of wheat in 12 days, in what

time will 24 men do it?

13 How much in length, that is 8 be taken to contain an acre?

14 A lent B 500l. for 6 months: lend A 220l. to be equivalent ?

answer 3 days. poles in breadth, must answer 20 perches. how long ought B to answer 15mo. 19da. wheat is 48. 6d. the

15 If, when the price of a bushel of penny loaf weighs 12oz. what must the penny loaf weigh, when a bushel is worth but 3s. answer 180z.

16 What is the weight of a pea to a steelyard, which, being suspended 39 inches from the centre of motion, will equipoise 208lb. suspended at the draught end 3 quarters of an inch? answer 4lb. 17 Suppose 800 persons in garrison with provision sufficient for two months; how many must depart, that the provision may serve them 5 months ?

answer 480.