19. What is a fother of lead worth, at 24d. per lb. ? Anf. 251. os. 6d. 20. I gave after the rate of 24d. per lb. for 13 pigs of lead; what did they all weigh, fuppofing they coft me 130l. 178. 6d. ?

Anf. 6 fothers, 7 cwts. 2 qrs. 16 lbs. 21. How much in length, that is 3 inches broad, will make a foot square?

22. What are 19 cheefes worth, each weighing

19 lbs., at 4d per lb. ?

Anf. 48 inches.*

Anf.

71. 48. 94, 48.

1qr.

11 lbs. of

23. The price of 3 tons 18 cwts. iron was 50 guineas; what did it coft

per lb.?

Anf. 1-d.

24. If when the price of a bufhel of wheat is 6s. 3d. the penny-loaf will weigh 9 ozs. ; what muft the pennyloaf weigh when wheat is at 4s. 3d per bufhel?

Anf. 13 ozs. 4 dwts. 161 grs. 25. What are 21 pieces of cloth, each 274 yards long, worth at 7s. 4d. per ell English?

Anf. 1671. 178. 24-3d. 26. I bought 216 ells French of velvet for 400l. and it coft me 71. os. 6d. for carriage and other charges; how much does it ftand me in per yard?

Anf. 11. 5s. 1d. 27. Suppose 120 men do a piece of work in 8 months; how many men will do the fame in 2 months? Anf. 480 men.

28. Reckoning 3 barley corns to meafure an inch, and computing 7680 barley corns to fill a pint; how much might I expect, at 38. 9d. per bufhel, for fo much barley as would reach from London to Darlington, fuppofing it to be 240 miles? Anf 171. 88 044d.

29. What must be paid for the carriage of 16 cwts. for 117 miles 4 fgs. when 5 guineas were paid for carrying the fame weight 52 miles? Anf. 111. 178. 3fd. 30. A carrier receives 11. 98. 74d. for the carriage of 4 cwts. 3 qrs. 21 lbs. 40 miles; how far will he carry 3 cwts. 2 qrs, for the fame fum ?

Anf. 56 ms. 34 fgs. 31. What

Anf. 811. 11s. 7

d.

32. I pay 2751. 10s. a year rent for 385 acres of land; and I pay fundry other outgoings, amounting in all to 231. 118. 6d; how much does my farm colt me per acre? Anf. ol. 158. 614d. 33. How many yards of ftuff that is 3 qrs. wide, are equal to 19 yds. of cloth that is 5 qrs. wide? Anf. 31.

34. Suppofe I give 50 guineas for a pipe of wine; what does it stand me in per pint? Anf. ol. 1s. old. 35. At 28. 3 d. per quart; what is wine worth per pipe? Anf. 571. 158. od 36. In what time will 600l. gain 5ol. intereft, when 8ol. does it in 15 years? Anf. 2 years.

37. What are 89 ankers of ale worth, at 78 6d. a piece, fuppofing 17s. 6d. be returned to the buyer by the feller? Anf. 321. 10s. od. 38. How many yards of paper that is 3 qrs. wide, will hang a room that is 30 feet long and 24 feet wide? Anf. 106 yards

39. Find the value of 618 qrs 4 bs. 3 pks. of wheat Anf 16391. 58. 54 d.

at 6s. 7 d. per bufhel?

40 If 56 chaldrons of coals coft 1871 19s 6d. ; what is one bufhel worth? Anf. ol. Is. 101 10.

41. If 15 men can perform a piece of work in 22 days; how many men will finifh another piece of work 4 times as large in a fifth part of the time?

Anf. 300. 42. What fum can I spend daily, out of an income of 1500l. per annum, to lay up 400 guineas at the year's end? Anf. 21. 195. 277d. 43. A gentleman spent, in one year, 3641. 123. 43d.. and had 50 guineas, 7 moidores, and l. 8s. 74d. left how much did he fpend one day with another, and what was his whole income?

Anf. 198. 114d. a day. 4281. a year.

;

44. How much in length, that is, 31 poles in breadth, will be equal to an acre?

Anf. 11 ps. 14 feet. 45. A man's wages are 11. 19s. 6d. for a month of 30 days; how much can he demand from the 10th of May, till the 27th of October inclufive?

Anf. Fl. 38. rod.

46. At a noble a week; how many month's board can 1 have for 100l.? Anf. 75 months. 47. Bought 15 pockets of hops, each weighing 2 cwts. I qr. 18 lbs.; what did they all cost me, at 51. 178. 8d. per cwt. ? Anf. 212l. 148. 10

d.

48. What must 40s. pay towards a tax, when 750l.. IIS. 8d. is affeffed at 9ol. 118. 9d.?

Anf. ol. 4s. 91 65390. 49. A tradefman failing, owed to feveral perfons 11751. 178. 8d. but compounds with them for 118. 6d. per pound; what must he pay them in all?.

Anf. 6781. 118. 74.

50. A gentleman allowed himself 5 quarts of wine every week, when it coft 7s per gallon; what quantity may he drink every week, when it is 8s. a gallon, without increafing the expence? Anf. 4 quarts.

51. Bought 6 bales of cloth, each containing 9 pieces, and each piece 36 yards, at 181. 12s. 6d. per piece; what is the value of the whole, and the rate per yard?

Anf. the whole value 10051. 158. od. value per yard cl. 10s. 4%d. 52. A ftaff 3 feet in length, perpendicularly erected, caft a fhadow to the diftance of 5 feet 7 ins.; how high is that steeple, which, at the fame time, caft a fhadow to the distance of 124 yards, I ft. 9 ins. ?

Anf. 66 yds. 25 ft. 53. If found move at the rate of 1150 feet in one fecond of time; in what time will it pafs through the fpace of 12 miles, I fg. 183 yds.? Anf. 561

R E M A R K.

fecs.

When you can ufe any of the following methods, the operations will be greatly shortened by so doing.

ft. Divide

ift. Divide the fecond term by the firft, and multiply the quotient into the third, and the product will be the answer.

2d. Divide the third term by the firft, and multiply the quotient into the fecond, and the product will be the answer.

3d. Divide the firft term by the fecond, and the third by that quotient, and the last quotient will be the answer. 4th. Divide the firft term by the third, and divide the second by the quotient, and the laft quotient will be the answer.

It will fometimes be difficult to feparate the parts of a question, when two ftatings are required; alfo to prepare a queftion for ftating; and fometimes after a proportion is wrought; but no general rule can be given for the management of these cafes.

THE DOUBLE RULE OF THREE.

THE double rule of three, or rule of five, teacheth to anfwer fuch queftions in the fingle rule of three, as require two proportions, by one ftating; or, by five numbers or quantities given, to find a fixth either in direct proportion or inverted.

RULE for STATING.

Place that number or quantity which is of the fame kind with the required number in the middle, with proportional marks before and after it, as directed in the fingle rule of three, and complete the ftating with the more convenient two of the other four terms, that are of one name, by the fame rule. Then, under the first and third terms, write the other two remaining terms as directed in the above named rule; that is, if the proportion require more let the third term be the greater; but if it require lefs let the first term be the greater, as you would obferve to do in the first part of the ftating.

M E

METHOD of OPERATION.

Reduce the middle term into the loweft name mentioned, the firft and third terms both into one name, and the terms that ftand under ther first and third terms into one name alfo. Then, multiply the firft term by the term that stands under it for a divisor, and the other three terms for a dividend; the quotient will be the anfwer in the fame name you left your fecond term in.

PR O OF.

The method of proof is by two ftatings in the fingle rule of three.

1. If 8 men can earn 61. 8s. in 4 days; what fum will 48 men earn in 16 days?