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dollar, and to contain 371 grains of pure silver and 442 grains of pure copper, forming a standard of 416 grains.

. The price established at the mint for pure silver is $0.26936 per grain.

8. The cent must be of the value of the one hundredth part of a dollar, and contain 208 grains of copper.

9. TABLE.

Value of the principal Coins according to the Act of Congress, 1834

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Q. What are the component parts of the cent? 8. What does pure silver bring at the mint? 7. What is the difference in value between the eagles coned before 1834 and those coined since? 9. What is the value of the guinea, sovereign, and crown of England ?-of the double Louis, Louis, Napo leon, and franc of France ?-of Spanish doubloons and pistoles?

1. The letter s. stands for silver coins, p. for shares in proportion, c. for those ren dered current by act of Congress, 1834. Coins whose metal is not indicated by any letter are gold coins.

2. Coined since 1796. 3. Coined since 1786. 4. Coined since 1772. 5. Or 1600 rees 6. Coined since 1820.

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Scudo of Republic,

5.044 Ducat,

$2.667

.800

EAST INDIES.

$2.511

Rupee, Bombay, (1818)

$7.096

15.811

Rupee, Madras, (1818)

7.110

Pagoda Star,

1.798

Scudo, or Roman crown, s. .800 Sicca Rupee, (Calcutta) s.

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VENICE.

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$2.310

.770

.480

Rupee, Bombay, Madras, s. .450

WEST INDIES.

Spanish gold and silver coins.

$1.855 FRANKFORT ON THE MAINE.

1.000 Ducat,

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$2.799

$9.278 Pistol Hel'c Repub. (1800) $4.560

REDUCTION OF FOREIGN CURRENCIES.

10. To change English or Sterling money to American or Federal money, and the reverse :

RULE.

11. Reduce the given sum to the decimal of a pound, then multiply it by 40 and divide by 9, to produce Federal money: and reverse the process to produce sterling money again.

12. Reduce £370. 6s. 3d sterling to Federal money.

13. Reduce $1645.83333+ to sterling money.

14. Reduce £457. 17s. 6d. sterling to Federal money.

15. Reduce $2,035 to sterling money.

16. The reduction of sterling money is of so frequent occurrence among commercial men, that it is very desirable to have the process rendered as easy and as concise as possible, as is attempted in the following rule

RULE.

17. Take half the shillings for the tenths of a pound, and if the shillings be odd, call the hundredths 5; next reduce the pence and

Q. What is the value of the Johannes of Portugal ?of the ducat and ruble of Russia?-of the rix dollar of Sweden?

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farthings to farthings, for thousandths and hundredths respectively, then the sum of the whole increased by 1 thousandth when the farthings are above 12, and by 2 thousandths when they are above 36, will express the decimal required.*

18. Reduce £815. 16s. 61d. to the decimal of a £.

A. £815.826.

16s.. 8 =1 of 16s.
6d.=.025 farthings in 61d.

0 0 1 for the excess above 12. £.826

19. Reduce £182. 9s. d. to the decimal of a £. 9s.=£.45.

A. £182. 543.

2= .003
£.453

A. £240.669
A. £203.857
A. £814.146
A. £317.002
A. £215.054
A. $955.795

20. Reduce £240. 13s. 4 d. to the decimal of a £ 21. Reduce £203. 17s. 13d. to the decimal of a £. 22. Reduce £814. 2s. 11d. to the decimal of a £. 23. Reduce £317. Os. d. to the decimal of a £. 24. Reduce £215. 1s. 1d. to the decimal of a £. 25. Reduce £215. 1s. 1d. to Federal money. 26. Reduce $62,354.62 to sterling money. A. £14,029. 15s. 91⁄2d. 27. To reduce the denomination of any foreign currency to Federal money :-Multiply by its value in Federal money found in the table.

28. Reduce 500 reals plate to Federal money.

29. Reduce 50 dollars Federal money, to reals plate. 30. Reduce 250 guilders to Federal money.

31. Reduce 100 dollars, Federal money, to florins.

32. Reduce 37 francs and 5 decimes to $.

A. $6.975.

33. Reduce 215 roubles and 5 grievener to $.

A. $161.62

34. Reduce 417 rix dollars, (Prussia) to Fed. money A. $285.41.

35. Reduce 240 skillings, (Sweden) to Fed. money. 36. Reduce 415 marks, (Denmark) to Fed. money. 37. Reduce $4.50 to pezzas, (Genoa.)

A. $5.25 A. 36.655.

38. Reduce $8.50 to paoli, (Rome.)

39. Reduce 200 ducati and 6 carlini to $.

40. Reduce 700 tari, (Malta,) to Federal money. 41. Reduce 1 oncia and 15 tari to $.

A. 5 pezzas.
A. 85 paoli.

A. 160.48.

4. $23.33.

A. $3.60.

42. Reduce 1100 rupees 5 annas to Federal money. A. $610.773.

Q. What is the rule for changing sterling money to Federal money and the reverse? 11. What is a more concise rule? 17. How is the denomination of any fo eign currency reduced to Federal money, and the reverse?

* Since shillings are twentieths of a pound, half their number must be tenths, and if there be a remainder it is of course .1.10, the half of which is .05 or five hundredths. Again, £1960qr. or 960ths of a pound, but if 1,000 farthings instead of 960 were equal to 1£, any number of farthings would make the same number of thousandths. But 960 increased by 1-24th part of itself is 1,000; if therefore, we increase any number of farthings by the 24th part of itself, the sum will be an exact decimai; wherefore, if the number of farthings exceed 12, the 1-24th part of them is greater than qr. and therefore 1 must be added, and when their number exceeds 36, 1-24th part is greater than 1qr and therefore 2 must be added. The 1 and 2 are properly 1 and 2 thousandths, because they occupy those places in the decimal.

A. 40.

43. Reduce $203 to guineas, (England.) See Table. 44. Reduce 40 guineas to American eagles, (new.) A. 20E. $3 45. Reduce 450 sovereigns to Federal money.

A. $2,183 123.
A. $22.
A. 3523.

A. $12,731.058 ✰
A. $3,063.049
A. 40,421+.
A. 6,255 18

46. Reduce 100 shilling pieces, (England,) to dollars. 47. Reduce 40 double louis (old) to English crowns. 48. Reduce 80 Napoleons to American eagles. A. 30E. $8.08cts. 49. Reduce 100 Spanish coronilla to sovereigns. A. 20S. 5s. 8†d. 50. Reduce 17,000 johannes, (Port.) to Napoleons, A. 75,327.+ 51. Reduce 2,523 gold Lions, (Belgium,) to $. 52. Reduce 1,3331 ducats, (new, Russia,) to $. 53. Reduce 8,042 Chr. d'ors to ducats, (Sicily.) 54. Reduce 10,668 duc. (Cologne,) to pistoles, (Bk.) 55. Reduce 3,500 silver rupees, (Madras, E. Indies,) to Carolins, (Bavaria.) A. 317 nearly. 56. How many dollars, in Federal money, will pay a debt of £450 3s. 6d. in Great Britain? 7. How many reals plate, in Spain, may be purchased for £234 sterling? A. 10,400 reals plate.

A. $2,000.7777.

58. In cases like the last, either proceed as in the Rule of Three, or first reduce to Federal money.

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59. How many rix dollars, (Prussia,) will discharge a debt of 1800 francs, (France?) A. 4894 rix dollars. 60. A bought 400 yards of silk, in Paris, at 3 francs per yard. What was its cost in Federal money? A. $223.20.

61. How many rigsbank dollars, (Denmark,) will purchase 1,575 liras in Genoa? A. 46812

62. How many American dollars will cancel a debt of 7,400 tales in China? A. $10,952. 63. United States on England, (cxv. 31.) Reduce £840. 14s. 6d sterling, to Federal money, exchange at 3 per cent. advance.

A. $3,848.6523.

64. Great Britain on the United States. What sum, in London, will purchase a Bill on Boston for $8,967.75, exchange at 4 per ct. discount? A. £1937. 8d. +

65. What sum in American eagles, (old,) will purchase 4,500 guineas, at a premium of 3 per ct.? (cxv. 33.) A. 2,027E. $5.59.+ 66. United States on France. Reduce 1,174 francs 60 centimes o Federal money, exchange at 5 francs 40 centimes per dollar.

A. $217.519 nearly.

67. France on the United States. Reduce $15,000,000, the cost of the Louisiana territory, to the currency of France, exchange at 5 francs 39 centimes per dollar. A. 80,850,000 francs. 68. United States on Amsterdam. Reduce 1,250 florins to Federal money, exchange 39 cents per florin.

A. $487.50.

69. Russia on the United States. Reduce 240 rubles 5 grieveners to Federal money. Exchange at par.

A. $180.374

70. United States on Denmark. Reduce 424 rigsbank dollars to Federal money, exchange at 2 per cent. in favor of Denmark. A. $229.214.

71. A merchant in Boston bought in London 40 pieces of black broadcloth, each containing 29 yards, for 13s. 6d. per yard. How many eagles (new) at a premium of 2 per cent., must he remit to settle the bill? A. 350 eagles.

72. If you purchase in China, 20,000lb. of tea, for 2 maces per lb. which you sell in Amsterdam for 1 guilder per pound, worth in the United States 2 per cent advance, and with the proceeds purchase a bill on New York at 5 per cent. discount, what will be your profit in the whole transaction? A. $2,669.47313.

MISCELLANEOUS EXAMPLES.

CXVII. 1. Suppose you employ a capital of $3,000, and invest 315 dollars 9 cents in cloths, 176 dollars 64 cents in linens, 3 times the last amount in silks, 518 dollars 8 dimes 5 mills in various other foreign articles, and the balance in domestic cottons at 12 cents per yd.; how many yds. could you purchase? A. 10,990yd. 2qr. 11na.

2. Suppose a person at Boston, and another at Philadelphia, the distance between each place being about 300 miles, set out to meet each other on the road. Required how far they are distant when each has traveled 79m. 5fur. 200 yd.? A. 140m. 4fur. 7rd. 11⁄2yd.

3. The sum of £1,261 was left a person in the United States, by a relative in England, to be divided between a mother, son, and daughter, so that the son shall have three times as much as his nother, and the mother double that of the daughter; required the share of each.

A. The daughter's, £140; the mother's, £2803; the son's, £8403. 4. A tract of land measuring 7,495A. 3R. 32rd. is to be divided among a regiment consisting of a colonel, a major, 5 captains, 9 lieutenants, 6 ensigns, 20 sergeants, and 450 privates, so that a sergeant is to have twice as much as a private, an ensign 8 shares, a lieutenant 12, a captain 20, the major 30, and the colonel 50; required the share of each, and the value of the land at 3 dollars per acre?

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Answers.-Soldiers, 9A. 12rd.= $27.221; sergeants, 18A. 24rd. $54.45; ensigns, 72A. 2R. 16rd=$217.80; lieutenants, 108A. 3R. 24rd. $326.70; captains, 181A. 2R.= $544.50; major, 272A. IR. $816.75; colonel, 453A. 3R.= $1,361.25.

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5. Jacob, by contract, was to serve Laban, for his two daughters, 14 years; when he had accomplished 10Y. 10mo. 10wk. 10da. 10h 10m., how many minutes had he then to serve ? A. 1,416,350.

6. Suppose you were 15 years old on the first day of January, 1810, how many seconds old must you have been on the first day of August, 1840, making due calculations for the leap years and the days in each month from one date to the other? A. 1,438,473,600 seconds.

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