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

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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 87ft. 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?

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59. Multiply 2hhd. 19gal. Oqt. 13 pt. by 39.

60. Multiply Sbu. 1pk. 4qt. 1pt. Oggi. by 53.
61. Multiply 16chal. 7bu. 1pk. Sqt. Opt. by 17.

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SECTION X.

COMPOUND DIVISION.

COMPOUND DIVISION is when the dividend consists of several denominations.

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of 3 pence? 4d.? 5d.? 7d.? 9d.? 11d.? 18d..
of 2 shillings? 3s.? 4s.? 5s.? 6s.? 7s.? 8s. ?
of 7£. ? 8£.? 10£.? 11£. ? 13£.? 14£. ?
of Scwt.? 5cwt.? 6cwt.? 7cwt.? 8cwt.? 9cwt.:
of lyd.? 2yds.? Syds.? 5yds.? 6yds.? 7yds.?
of 1gal.? 2gal.? 3gal.? 4gal.? 5gal.? 6gal.?

EXAMPLES.

7 Divide 598£. 8s. 11d. equally between 5 persons.

£. S. d. 5)598 8 11

Having divided the pounds by 5 we find 2£. 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 11d. in the question, and divide their sum by 5. The several quotients we write under their respective denominations.

119 13 9

8. Divide 168£. 15s. Od. equally between 36 men.

£. S. d.

36)168 15 0(4£.

144

24

20

36)495(13s.

36

135

108

27

12

When the divisor is more than 12, we 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)324(9d.

324

From the above examples and illustrations we deduce the following

RULE.

Divide the highest denomination, by the quantity, and if any thing remains, reduce it to the next lower denomination, and continue to divide until it is reduced to the lowest denomination.

NOTE.

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When the operation is performed by short division, let the several quotients be placed under their respective denominations.

9. Divide 151£. 19s. 114d. by 9. 10. Divide 350£. 17s. 3 d. by 519. 11. Divide 225£. 1s. 10 d. 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.

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

Ans. 16£. 17s. 94d.
Ans. 13s. 64d.

Ans. 3£. 11s. 5d.

Ans. 13£. 5s. 4 d.

Ans. 18£. 16s. 7 d.

18. Divide 183 Ton, 1cwt. 2qr. 11lb. 4oz. by 11. 19. Divide 105 Ton, 7cwt. Oqr. 6lb. 8oz. by 8. 20. Divide 19th. 93. 43. 29. 9gr. by 8.

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

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

23. Divide 149deg. 8m. Ofur. Ord. 1yd. 1ft. 6in. by 9.

24. Divide 97deg. 55m. 7 fur. 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 Tun, 3hhd. 4 gal. 2qt. by 9. 29. Divide 56hhd. 45gal. by 8.

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

31. Divide 255chald. 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 between 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 11.

When the quantity 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.

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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

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