Questions. Answers. 31, 108 bushels at 178. 10d. per bushel ? f. 96 60 32. 29 gallons of wine at $1 1?t per gallon ? $ 32 62} c. 33. 123 yards at 358. 3d. per yard? £.216 15 9 34. 1404 bushels at 178. 2d. per bushel ? £. 120 771 35. 574 bushels at 17s. 10 d. per bushel ? £ 51 798 36. 112 bushels at $2 17 c. per bushel ? $ 244 663 c. 37. 357 yards at 45. 71d. per yard ? £. 82 11 13 38. 624 bushels at 12s. 8d. per bushel ? 6.395 40 39. 473 bushels at $1 60 c. per bushel ? 40. 512 bushels at 15s. 10d. per bushel ? f. 405 6.8 41. 483 gallons at 11s. 5d. per gallon! f. 275 14 3 42. 364 gallons at 58.. 81d. per gallon ? f. 103 17 10 When the quantity does not exceed 240, nor the price 12 pence, then, by the pence table, find what it comes to at one penny per yard, &c. Multiply this sum by the pence in the price, and the product will give the answer. A3. What will 116 lb. cost at 7d. per lb.? f. s. d. 7 3 O 8 the price at 7d. per lb. Half of 8s. 8d.=0 4. 4the price at 3d. per lb. Half of 48. 4d.=0 2 2 the price at d. per lb Answer. 3 7 2 the price atd. per lb. Answers 44. 149 yards at 10d. pèr yard ? f. 6 13 5 45. 230 yards at 114d. per yard? £. 10 15 71 46. 150 dozen at 5 d. per dozen. £. 3 8 113 To find the value of a hundred weight, by having the price of 1 lb. Set down 28, 4d. and multiply it by the farthings in the price of 1 lb. or 9s. 4d. multiplied by the pence in the price of 1 lb. The product will give the answer. 47. What will 1 cwt. of Chalk amount to at 21d. per lb. ? £. $. d. 112 farthings=0 2 4 the price of Icwt. at 1d. per lb. 9 farthings in the price of 1 lb. Answer. 6.1 1 O price of 1 cwt. at 24d. per Ib. Questions. Answers. 48. i cwt. of Iron at 4 d. perlb. ? 6.2 4 4 49 cvt. of Cheese at 7d. per lb. ? &.3 54 $0, 1 cwt. of - 64d. per. Ib. ? 46.2 18 4 To find the value of any number of hundred weights, by having the price of one pouud, first find the value of one cwt. and multiply that value by the number of cwts. 51. What is the value of 5 cwt. 2 qrs. 14 lb. of Pork at - 6d. per lb. į Ans. 6. 17 ls. 3d. Questions. Answers. 52.7 cwt. of beef at 41d. per lb? £.15 10 4 53. 85 at 5d. per lb ? f. 19 16 8 54. 6$ at 7d. per lb. ? £. 20 8 4 To find the value of a hundred weight at any price per pound. Multiply the price of 1 lb. by 8, its product by 7, and this product by 2 ; which will produce the answer required. Questions. Answers. 55. 1 cwt. of cinnamon at 178. 3d. per lb. ? £.96 120 56. 1 cwt. of tea at 14s. 2 d. per lb. ? 6.79 13 8 57. 1 cwt. of at $3 14 c.? $ 351 68 c. 58. 1 cwt. of indigo at $2 83 C. QUESTIONS FOR EXERCISE. 59 What is the weight of 7 hogsheads of Sugar, each weighing 13 cwt. 1 qr. 19 lb. Ans. 60. A gentleman is possessed of 12 silver table spoons, each weighing 2 oz. 14 dwt.; 18 tea ditto, each weighing 14) dwt. ; 2 silver cans, each 13 oz. 17 dwt.; and a tankard 23 oz. 13 dwt. Pray what is the weight of the whole ? Ans. 61. If a gentleman spend daily $2 82 c. and at the years end lays up $765. What is his yearly income? Ans. 62. Suppose a gentleman's income is $1666 67 c. a year, and he expends daily $3 32 c. What doth he lay up at the years end? Ans. 63. A merchant dying left his widow £. 1780, and fo. 1250 to each of his 4 children; £.31 10s. a piece to 15 of his poor relations, and £. 150 to charities; he had been 254 years in trade, and at an average had cleared f. 126 a year. What had he to begin with ? Ans. 64. In the partition of lands in a certain settlement, A. had 1217 acres, 1 r. 32 per. allotted to him ; B, had 2715 acres, 3 r. 17 per. ; C. 15962 acres, 12 per. ; D. 2005 acres, 2. r. 9 per. ; E. 17698 acres, 2 r. ; F. 37649 acres; and G. 19073 acres, 1 r. 27 per. How many acres did the settlement con. tain, since the allotments made as above, want 173 acres, 3 per. of being one sixth part of the whole weight COMPOUND DIVISION. RULE.--Divide the first denomination on the left hand, and if any remains, multiply them by as many of the next less as make one of that, which add to the next, and divide as before. EXAMPLES, (3) c. m. 10. 12. Ib. 02. dwt. 1b. 3.3.5. grs. tons. cwt. qrs. lb. oz. 5)17 10 13 20 7)27 97 1 14 9)15 13 2 18 10 13. 15. 16. m. fur. per. yds. yds.qrs.na. acres.ro. per. days. ho. m. 8)15 6 21 3 9)12 1 3 10)107 2 37 11)12 15 11 21. If 11 yards of linen cost fo. 2 0s. 4d. what is it per yard ? Ans. 22. If 8 cwt. cost $111, what is the price of 1 cwt ? Ans. 23. If 9 sheep cost £.7 38. how much did I cost ? Ans. 24. If št. of urf tea cost £.45, what is it per lb.? Ans. cvt. of Ch cost £.253 138. how much is it per piece ? On cwt. of Ane. 26. If 108 bushels of wheat cost €96 6s. what cost 1 bushel ! Ans. 27. If 1 cwt. of cheese cost £3 38. what is that per lb. ? Ans. 28. At £3 10s. per cwt. what will 1 lb. cost ? Ans. 29. At $4 20 c. per cwt. what is the price of 1lb? Ans. 30. At £12 12s. per cwt. what cost 1 lb ? Ans. 31. If 3 cwt. of cheese cost £ 10 10s. what is that per lb. Ans. 32. If 24 cwt. of butter cost £14 2s. 4d. what is it per lb. ? Ans. 33. If 7} cwt. of bacon cost € 28, what is the price per. Ib. ? Ans. 34. If 5 cwt. of loaf sugar cost $128 80 c. what is it per lb? Ans. Note-If there be , } or of a yard, lb, &c, multiply both the quantity and price by 4, then work according to the rule. 35. If 140+ yards broadcloth cost £300 198. 0{d. what cost 1 yard? Ans. 62 2s. 11. 36. If 82 yards of linen cost £15 103. 11d. what cost 1 yard ? Ans. 37. If 519 yards of check cost $275 7 c. what cost 1 yard ! Ans. 38. If 734 gallons of rum cost € 28 9s. 74d. what cost 1 gallon ? Ans. 39. If 35 sheep cost $78 75 c. what are they a piece ? Ans. QUESTIONS FOR EXERCISE. 40. My purse and money quoth Dick, are worth $4 50 c. but the money is worth eleven times the purse. Pray what sum did it contain ? Ans. 41. Divide $14003, among 2948 men ? Ans. 42. A dealer bought two lots of snuff, that together weighed 9 cwt. 3 qrs. 16 lb. for £ 97 178. 6d. their difference in point of weight, was 1 cwt. 2 qrs. 16 lb. and of price £8 13s. 3d. Their respective weights and values are required ? Ans. ŞGreater weight, 5 cwt. 3 qrs. 2 lb. price £ 53 5s, 4fd. 43. A cubic foot of water weighs 76 lbs. Troy; and the air is 860 times lighter than water. I demand the weight of a cubic foot of air? 1 oz. 1 dwt. 5 gr. 44. If 43 cwt. 2 qrs. 8 lb. of tobacco be made up into 5 equal hos heads, what will be the neat weight of each bogshead? 45. A privateer takes a prize worth £ 2851 4s. of which the captain gets 1-16; each of 6 officers 1-32 of the remainder, and the private men, being 45 in number, get the rest equally divided among them. What is each man's share ? SCaptain's share £ 178 4s. Each private man's share £48 58. 3d. 46. A general of an army distributes £15 19%. 21d. among 4 captains, 5 lieutenants, and 60 common soldiers, in the manner following: Every captain is to have 3 times as much as a lieutenant, and every lieutenant twice as much as a common soldier. I demand their several shares. Captain's share 20s. 43d. Ans. Lieutenant's share 6s. 91d. Common soldier's 3s. 4 d. REDUCTION Is the changing of numbers from one name or denomination to another, without altering their value. 1st. Great names are brought to small by Multiplication, and is called Reduction Descending. 2d. Small names are brought to great by Division, and is called Reduction Ascending. Reduction Descending and Ascending prove each other. TABLE I. Shewing the weight and value of Federal Coins as they pass ir the United States. N. Hamp. Ver. New-York and N. Jersey, Penn. Maryland. and Gold. Names Old Dwts. Grs. $ C. f. s. d. fo.s. d. f. 8. d. t. s. d. SEagle 11 6 110 00 13 00 14 0 0 13 15 0 12 6 8 | Eagle 5 15 5 00 1 100 1200 1 17 6 1 3 4 Eagle | 2 191 2 50 U 15 0 100 018 9 011 8 Dollar 17 8 100 10 60 V 80 76 10 4 8 Dollar 8 16 0 50 10 30 JU 40 0 39 10 2 4 Dollar 4 8 0 25 10 16 1020 0 11010 1 2 Dime i 17* 0 10 10 07 00 90 09 0 0 55 Dime 0 20 0 050 033 0040 041 0 0 23 Cent 5 12 | 0 outlooooooo 0 0 0 o 025 Copper. Siloer. |