The pupil will hence perceive the propriety of the following

RULE.

Take for successive multipliers two or more numbers, whose continued product will be nearest the proper multiplier, and then find the value of the remainder by Case I., and the sum of the last two products will be the answer.

51. What will 57 gallons of wine cost, at 8s. 34d. per gallon? 52. Bought 29 lots of wild land, each containing 117A. 3R. 27p.; what were the contents of the whole ?

53. Bought 89 pieces of cloth, each containing 37yd. 3qr. 2na. 2in.; what was the whole quantity?

54. Bought 59 casks of wine, each containing 47gal. 3qt. 1pt. ; what was the whole quantity?

55. If a man travel 17m. 3fur. 13rd. 14ft. in one day, how far will he travel in a year?

56. If a man drink 3gal. 1qt. 1pt. of beer in a week, how much will he drink in 52 weeks?

57. There are 17 sticks of timber, each containing 37ft. 978in.; what is the whole quantity?

58. There are 17 piles of wood, each containing 7 cords 98 cubic feet; what is the whole quantity? 59. Multiply 2hhd. 19gal. Oqt. 1pt. by 39. 60. Multiply 3bu. 1pk. 4qt. 1pt. 1gi. by 53. 61. Multiply 16ch. 7bu. 2pk. Oqt. Opt. by 17.

5.

John Jones, of Philadelphia, U. S.,

Liverpool, June 2, 1835.

Bought of Thomas Hasseltine,

297 yds. Black Broadcloth, at 17s. 31d.

473"

Blue

do.

66

9s. 114d.

15s. 10d.

London, May 11, 1846.

Messrs. Kimball, Jewett, & Co., of Boston, U. S.,

Bought of Benjamin Fowler,

2345 yds. Red Broadcloth, at

1£. 17s. 94d. 4428

=

£. S. d. 1274

7186"

SECTION XV.

COMPOUND DIVISION.

COMPOUND DIVISION is when the dividend consists of several denominations.

EXAMPLES.

1. Divide 598£. 8s. 9d. equally among 5 persons.

£.

8. d.

5)598

8 9

119 13 9

Having divided the pounds by 5, we find 3£. remaining, which are 60s.; to these we add the 8s. in the question, and again divide by 5 and find 3s. remaining, which are 36d. ; to these we add the 9d. in the question, and divide their sum by 5. The several quotients we write under their respective denominations.

2. Divide 168£. 15s. Od. equally among 36 men.

d.

When the divisor is more than 12, we

36) 168 15 0(4£. usually perform the operation by Long

144

Division. In the present example, we first divide the pounds by 36, and obtain 4£. for the quotient and 24£. remaining, which we reduce to shillings and annex the 15s., and again divide by 36, and obtain 13s. for the quotient. The remainder we reduce to pence, and again divide, and obtain 9d. for the quotient.

324

From the above examples and illustrations we deduce the following

RULE.

Divide the highest denomination of the dividend by the divisor, and, if there be a remainder, reduce it to the next lower denomination, adding to the number thus found the number in the dividend of the same denomination. Divide the result thus obtained by the divisor; and, if there be a remainder, proceed as before, till all the denominations of the dividend are taken, or till the work is finished. The successive quotients will be of the same denominations with the successive numbers divided, or will correspond with the several denominations of the dividend.

NOTE. When the operation is performed by Short Division, the several quotients must be placed under their respective denominations.

2. When 10£. 13s. Od. are paid for 9 barrels of flour, what is the cost of one barrel ?

3. If 7bbls. of flour cost 10£. Os. 41d., what cost one barrel ? 4. Paid 3£. 2s. 4d. for 8lbs. of Cayenne pepper; what was the cost of one pound?

5. Divide 54yd. 2qr. 3na. equally among 5 persons.

6. Divide 29cwt. 3qr. 16lb. equally among 9 persons.

7. If 5 pair of oxen in one year consume 37 tons 17cwt. Oqr. 16lb. of hay, what quantity would be sufficient for one pair?

8. If one man could perform a piece of labor in 76 days 11h. 53m., how long would it take 10 men to perform the same labor?

9. Divide 151£. 19s. 114d. by 9. 10. Divide 350£. 17s. 3 d. by 519. 11. Divide 225£. 1s. 104d. by 63. 12. Divide 159£. 4s. 9d. by 12. 13. Divide 75£. 6s. 6d. by 4. 14. Divide 111£. 8s. 11d. by 7. 15. Divide 159£. 4s. 9d. by 12.

Ans. 16£. 17s. 91d.

Ans. 13s. 61d. Ans. 3£. 11s. 54d. Ans. 13£. 5s. 4 d. Ans. 18£. 16s. 74d.

16. Divide 158lb. 9oz. 1dwt. 21gr. by 9. 17. Divide 111lb. 11oz. 17dwt. 9gr. by 7.

18. Divide 183 tons lcwt. 2qr. 11lb. 4oz. by 11. 19. Divide 105 tons 7cwt. Oqr. 6lb. 8oz. by 8. 20. Divide 19b 93 43 29 9gr. by 8.

21. Divide 335yd. 2qr. Ona. Oin. by 7.

22. Divide 215m. 7fur. 1rd. 14ft. 6in. by 12.

23. Divide 149deg. 8m. Ofur. Ord. lyd. 1ft. 6in. by 9. 24. Divide 97deg. 55m. 7fur. 35rd. 4ft. 2in. 1bar. by 6. 25. Divide 181A. 3R. 11p. 6yd. 4ft. 41in. by 11.

26. Divide 31 cords 83ft. 1332in. by 4.

27. Divide 209hhd. 55gal. 3qt. Opt. 1gi. by 7.

28. Divide 35 tuns 3hhd. 4gal. 2qt. by 9.

29. Divide 56hhd. 45gal. by 8.

30. Divide 118bu. 1pk. 5qt. by 6.

31. Divide 255ch. 24bu. 3pk. 1qt. by 7.

32. Divide 110y. 343d. 3h. 41m. 12sec. by 8.

33. A man divides his farm of 214A. 3R. 12p. equally among his 9 sons; how much does each receive?

34. If one man perform a certain piece of labor in 3da. 16h. 54m., how long would it take 12 men to perform the same work?