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LESSON 5.

LESSON 9. In 879879 farthings, how

In £ 272 12s. 6d. how mamany pounds? Answer, £916 10s. 9d. 3qrs.

ny two-pences? Ans. 32715. OPERATION.

OPERATION, 49=d. 4)879379 farthings. | £ 272 12 6 12d.=is. 12)219969 3q. over.

20 20s.-}£. 210)18339 9d. over.

£ 916 10s. over. 5452 shillings. LESSON 6.

6 two-pences in a shil. In 37311 half-pence, how many pounds? Answer, £7732715 two-pences in all. 14s. 7d. 2qrs.

Note.-The 6d. make 3 twoOPERATION.

pences which are added in the last

product. 2)37311 half-pence. 12)18655 1 half-penny over LESSON 10. 210)15514 7d. over.

[or 29.

In 6431 six-pences, how £77 14s, over.

many pounds? Answer, £ 160 LESSON 7.

15s. 6d. In £160 15s. 6d. how many

OPERATION. six-pences ? Answer, 6431

2)6431 six-pences. six-pences.

210)32115s. 1 six-pence over. OPERATION.

£ 160 and 15s. 6d. over. £ 160 15 6

LESSON 11.

In 35016 groats how many 3215 shillings.

pounds ? Answer, £ 583 12s. 2 six-pences in a shil,

OPERATION.

3)35016 groats. 6431 six-pences.

210)1167/2 shillings. LESSON 8.

£ 583 12s.
In £194 10s. 8d. how many
groats ? Ans. 11672 groats.

LESSON 12.
OPERATION.

In 1678 dollars of 7s. 6d. £194 10 8

each, how many six-pences ? 20

Answer, 25170 six-pences.

1678 dols. 3890 shillings.

15 six-pences=7s. 6d. 3 groats in a shilling.

8390 11672* groats in all.

1678 Note.---Four pence make 1 groat. 8d.=2 groats added.

25170

20

65520 pence.

LESSON 13.

LESSON 16. In 987 French crowns, how In 279552 farthings how many pieces of 5 cents each?||many dollars of 8s. each? Ans. 21714 pieces.

Ans. 728 dollars. OPERATION.

OPERATION. I crown=110 cents x 987 =||279552;4= 4)279552 108570 + 5 = 21714. |69888d. + 12 12) 69888 987 crowns.

= 5824s. ;8 8) 5824 110 cents in a crown. = 728 dolls.

728

LESSON 17. 5)108570 cents.

Reduce 44871 farthings 21714 pieces. LESSON 14. into pounds.

Dil

Make it £46 14 9 3 In 728 dollars, N. Jersey

OPERATION. currency, each 78. 6d. how

4)44871 many pence and farthings ? Ans. 65520d. 262080 grs.

12)11217d. 3 qrs. over.

210) 9314s. Id. over. 728 dolls.

£46 14s. over. 15 six-pences each.

LESSON 18. 3640

A tenant was behind with 728

4 qrs.in 1d.|his landlord for 16 years' 262080

rent at £ 5 10s. a year; how 10920 six-pences.

much was the debt?

Ans. £ 88. Dil. 6

OPERATION. 65520 pence.

£ 5 10 LESSON 15.

4 Reduce 728 dollars, NewYork currency, to pence and 22 0 for 4 years. farthings, allowing each dol

4 lar to consist of 8 shillings. Make it 69388d. 279552 qrs. £ 88 for 16 years.

OPERATION. 728x8=5821s.*12=59888d.

LESSON 19. *4 = 279552 qrs.

£ 34 17 divided between 728 dollars.

17 men, how much is that a 8s, a dollar.

piece? Ans. £2 1. Dil.

£ 34 17:17=£2 1s.
5324s.
12

17)34 17(2£.

34
69888d.
4

17)17(18.

17

-

279552 grs.

LESSON 20. A merchant had £ 102 128. currency of New York, which sum he exchanged for pieces of silver containing 5 cents, 10 cents, 25 cents, 50 cents, and 100 cents ; he exacted an equal number of each: what was that number?

Answer, 135.

OPERATION. 5+10+25+50+100=190 for a divisor. £ 102 12=256 dole. 50 cents for a dividend. EXPLANATION,

£ 102 12 256 dols. 4s.

20 = 256 dols. 50 cents, or 25650 cents,

8)2052 for a dividend.

256 dols. 4s. over,

or, 25650 cents. 190)25650(135 the number

PROOF.
190

[sought.
Pieces 135x 5,= 675 cts.

x 10,= 1350
.665

x 25,= 3375 570

x 50,= 6750 . 950

x 100,=13500 950

25650 cts, or 256 dols. 50 cents.

LESSON 21.
In 50 English guineas, how many dollars ?

Answer, 233 dols. 35 cents.

OPERATION. 23335 cents =

466.7 cents a guinea. 233 dols. 35 cents.

50 guineas.

23335.0 cents.

LESSON 22.
In 100 French guineas, how many dollars ?

Answer, 459 dols. 80 cents.

OPERATION. 45980 cents =

459.8 cents 1 guinea. 459 dols. 80 cents.

100 guineas.

15980.0 cents,

LESSON 23.
In 100 livres of 18.5 cents each, how many dollars ?

Answer, 18 dols. 50 cents.

OPERATION. 18.5 cents 1 livre.

1850 cents = 100 livres.

18 dols. 50 cents.

1850.0 cents.

LESSON 24. In 445 guilders of 39 cents each, how many dollars ?

Answer, 177 dols. 45 cents.

OPERATION.
455 guilders.

17745 cents.
39 cents in a guilder. = 177 dols. 45 cents.

4095 1365

17745 cents.

LESSON 25.
In 1923 marks of Germany, how many dollars ?

Answer, 641 dollars. A mark = 33ļ cents or one third of a dollar. 1923 - 3 = 641 for dollars.

LESSON 26.
Reduce £ 578 sterling of Great Britain into dollars.
Make it 2566 dollars, 32 cents.

OPERATION.
578 pounds.

256632 cents
444 cents in 1 pound. 2566 dols. 32 cents.

2312 2312 2312

256632 cents.

END OF PART EIGUITH.

INTRODUCTION TO ARITHMETIC,

PART IX.

CONTAINING,

PROPORTION, INTEREST, REBATE, BARTER,

LOSS AND GAIN, SINGLE AND

DOUBLE FELLOWSHIP.

PROPORTION.

PROPORTION, is commonly called the Rule of Three ; because a question or problem in this rule, has three numbers given to find a fourth; and in ancient times it was called “ THE GOLDEN RULE OF THREE,” by reason of its usefulness : For, by this rule, we can solve many crafty, critical, and astonishingly curious questions, which could not be done without knowing this method in calculation.

EXAMPLE If 2 bushels of corn cost 6 shillings, what will 4 bushels cost?

RULE. Multiply the second and third numbers together, and divide their product by the first ; the quotient will be the fourth number or answer.

OPERATION.

b. 6 :: 4

6 second number.

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b.
2

First number, 2)24 product.

Quotient, 12s. answer. This answer can be calculated mentally, that is, by the head, and very soon too; but such easy examples are most like.

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