18. Bought 108cwt. of tobacco for $1393.20: what was that per cwt.?

19. Sold 256 tuns Curacoa, for $6248: how much was received per tun?

20. If 132 gallons of brandy cost $250.14, what will 1 gallon cost?

21. At a public dinner, where 48 gentlemen dined, the bill amounted to $72: how much did each pay?

22. The capital of a commercial house amounts to $40000, and is divided into 120 shares: what does a single share amount to?

23. A gentleman purchased 40 dozen of Port wine, for $144: what did it cost him per bottle?

24. What is the value of one ounce of opium, if 19 b Av. are sold for $140.

25. An estate of 630 acres 1 rood is let for $1543.50: what rent does each acre yield?

26. Bought 48cwt. of tobacco for $1081.44: what is the worth of lcwt.?

27. What is sugar per pound, at $10.64 per cwt.?

28. If 21 tons of hay cost $283.50, what is the value of 1 ton?

29. A man divided $215.25 equally among 205 boys: how much did each receive?

30. If you buy cheese weighing 128 pounds for $10.24, what is the price per pound?

31. A merchant bought 111 barrels of flour for $610.50: how much did he pay per barrel?

32. Sold 625 bushels of oats for $137.50: how much is that per bushel ?

33. If 126 ells of Holland cost $42, what will 1 ell cost? 34. Bought a pipe of wine for $346.50: what is the worth of 1 gallon?

35. Bought 230 bushels of salt, for $71.50 wha was it per bushel?

36. If my income be $1901.65 per year, how much is it per day?

37. What does a painter charge per square yard, who is paid $145 for 500 yards?

38. What is wool per pound, if 77 pounds cost $28.49 ? 39. What is wood per cord, if 97 cords cost $412.25? 40. Purchased 28 yards of broadcloth for $201.88: what is 1 yard worth?

41. What is soap per pound, if 112 pounds cost $9.52 ? 42. If 1 cask of raisins, weighing 234 pounds, cost $27.91, what is 1 pound worth?

43. Sold 1728 pounds of coffee, for $232.28: what is a single pound worth?

44. Laid out $50.40 for 672 yards of muslins: required the price paid per yard.

45. A merchant purchased 25 bales of cotton cloth, each bale containing 49 yards, for $196: how much did he pay per yard?

46. If 114 drums of figs cost $256.25, what will be the value of 1 drum?

47. Bought 416 pounds of sheet lead, for $25.79: how much is that per pound?

48. Purchased 617 pounds of coffee, for $64.781: how much is that per pound?

49. If 115 boxes of oranges cost $244.372, what will be the price of 1 box?

50. Bought a drove of 107 sheep, for $204.37: what did I pay for each ?

51. A piece of silk, containing 25 yards, cost $45.75: what is the value of 1 yard?

52. Four pieces of cloth, each containing 23 yards, cost $333.50 what was the price of a yard?

53. If a prize of $10350 be equally divided among 23 persons, what will each receive ?

54. Bought 238 tons of coal, for $928.20: what is the cost of 1 ton?

55. Paid $81.27, for 21 dozen pairs of men's gloves: how much is that per pair?

56. Bought 360 tuns of Madeira, for $16804.80: what is the value of one tun?

57. Bought 207 yards of velvet, for $126.27: what was the cost per yard?

58. Sold 241 tons of potash, for $2922.25: how much is that per ton?

59. If you pay $125.10, for 834 pounds of leather, how much is that per pound!

60. A person left property to the amount of $3942, and directed that $749 should be given to the poor, and that the remainder be equally divided among his 5 children what is the portion of each child?

COMPOUND DIVISION.

59. This rule is the reverse of Compound Multiplication. It shows how often a given quantity is contained in another of different denominations.

GENERAL RULE.

Divide the first denomination on the left hand by the divisor; multiply the remainder, if any, by the number of the second denomination contained in a unit of the first; and add the second to the product; divide the sum as before, &c. § 60. CASE 1. When the divisor is less than 12.

RULE.

Divide the dividend by said divisor, as above directed.

5. 10lb. 2oz. Odr. 1scr. 8gr.÷3.

2 3 27 54 Ans.

6. 16T. 18cwt. 2qr. 12lb. 12oz. 14dr.÷5.

7. 64L. 2m. 6fur. 36p. 2yd. 2ft. 10in. 2bar.÷6.
8. 80A. 2R. 28p. Oft. 24in.÷8.

9. 99 T. 36ft. 459in.÷9.

10. 28 Cd. 112ft. 1449in.÷7.

11. 118yd. 3qr. 3n.÷11.

12. 28 E. E. 2qr. On.÷4.

13. 21hhd. 54gal. 2qt.÷10.

14. 16T. Obt. 1hhd. 52gal. 2qt.÷2.

15. 132bu. 1p. 4qt.÷12.

16. 36chal. 18bu. 2p. 2qt.÷6.

17. 22mo. 2w. 6d. 18h. 24min. 57sec.÷3.

18. 9s. 21° 51′ 45′′÷9.

§ 61. CASE 2. When the divisor is a composite num ber, and is greater than 12.

RULE.

Divide by the factors successively.

EXAMPLES.

1. Divide 241cwt. 2qr. 24lb. Ooz. by 192.

6. 56 T. 13cwt. 3qr. 10lb.÷45.

7. 781b. 7oz. 7dr. Oscr. Ogr.÷72.
8. 1246cwt. 3qr. 27lb.÷132.
9. 882cwt. 3qr. 167b.÷120.

§ 62. CASE 3. When the divisor is a prime number greater than 12.

RULE.

Divide by the whole divisor at once as in Long Division.

2. 571yd. 2qr. In.÷47.

3. 34. 1R. 15p.÷17.

4. 125m. Ofur. 29p. Oyd. 2ft. 4in.÷13.
5. 80m. 1w. 4d. 11h. 33min. 20sec.÷37.
6. 2764cwt. 2qr. 21lb.÷571.

7. 7142cwt. Oqr. 8lb.÷223.

§ 63. CASE 4. When the divisor is a compound number.

RULE.

Reduce the dividend and the divisor to the lowest denomination named in either, and divide one by the other, as in simple numbers.

EXAMPLES.

1. How much cloth, at £1 6s. 8d. per yard, can I buy fo £41 6s. 8d.?

2. Divide 103yd. 2qr. by 4yd. 1gr. 1n.

3. How much tea, at 5s. 6d. per pound, can be bough for £35 4s.?

4. Divide 5280ft. by 2ft. 6in.

5. A piece of cloth, at 12s. 9d. per yard, cost £47 16s. 3d.: how many yards did it contain?

Q. What is the rule when the divisor is less than 12? Q. What is the rule when the divisor is a composite number, and greater than 12?

Q. How do you proceed when the divisor is a prime number greater than 12?

Q. How do you proceed when the divisor is a compound number?

MISCELLANEOUS EXERCISES.

1. If 48cwt. of cheese cost 1067. 14s., what will 1cwt. cost? 2. Divide 117. 11s. 114d. by 12.