5.

John Jones, of Philadelphia, U. S.,

Liverpool, June 2, 1835.

Bought of Thomas Hasseltine,

297 yds. Black Broadcloth, at 17s. 3d.

London, May 11, 1846.

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

SECTION XV.

COMPOUND DIVISION.

COMPOUND DIVISION is when the dividend consists of several denominations.

EXAMPLES.

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

£.

5)598

8. d.

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.

36)168

144

24

20

8. d.

When the divisor is more than 12, we 36) 168 15 0(4£. usually perform the operation by Long 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.

36)495(13s.

36

135

108

27

12

36) 324(9d. 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. 44d., 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. 101d. 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. 6d. Ans. 3£. 11s. 51d. 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 Icwt. 2qr. 11lb. 4oz. by 11. 19. Divide 105 tons 7cwt. Oqr. 6lb. 8oz. by 8. 20. Divide 19lb 93 43 29 9gr. by 8.

21. Divide 335yd. 2qr. Ona. Oşin. 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?

35. A farmer has 29 bushels of rye, which he wishes to put into 8 bags; how much must each bag contain?

CASE II.

When the divisor is a composite number, proceed as in the following

EXAMPLE.

36. If 42 yards of cloth cost 14£. 3s. 6d., what is the value of 1 yard? Ans. 6s. 9d.

£. S. d.

7)14 3 6 6)2 0 6

0 6 9

In this question, we find the component parts of 42 are 6 and 7; we therefore first divide the price by 7, and then divide the quotient by 6.

From the above, we deduce the following

RULE.

Divide the dividend by one of the component parts, and the quotient thence arising by the other, and the last quotient will be the answer.

NOTE. To find the true remainder; multiply the last remainder by the first divisor, and to the product add the first remainder.

37. If 16 yards of velvet cost 2£. 18s. 8d., what will 1 yard

cost?

38. If 72 yards of broadcloth cost 71£. 14s. Od., what is the value of 1 yard?

39. If 84 yards of cotton cost 8£. 1s. Od., what will 1 yard

cost?

40. If 90 hogsheads of sugar weigh 56T. 13cwt. 3qr. 10lb., what is the weight of 1 hogshead?

41. What will be the price of 1 sheep, if 18 cost 5£. 4s. 3d. ? 42. If 21 yards of cloth cost 10£. 8s. 3d., what is the price of 1 yard?

43. What is the value of 1 hat, when 22 cost 12£. 13s. Od. ? 44. When 96 shares of a certain stock are valued at 1290£. 4s. Od., what would be the cost of 1 share ?

45. If 120 spoons weigh 321b. 9oz. 15dwt., what does 1 weigh?

46. If a man in 1 month travel 746m. 5fur. Ord., how far does he go in 1 day?

47. If the earth revolve 15° on its axis in 1 hour, how far does it revolve in 1 minute ?