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ANSWERS.

2. Reduce 551. 10s. 6d. Nova-Scotia currency, to dollars

55,525 decimal value.
4

cts. Ans. $222, 100=222 10 3. Reduce 2411. 18s. Id. to federal money, $967 75 4. Reduce 58 13 62

234 70 5. Reduce 528 17 8

2115 53 6. Reduce 1 2 6

4 50 7. Reduce 224 19 0

899 80 8. Reduce 0 13 111

2 79

REDUCTION OF COIN.
Rules for reducing the Federal Money to the currencies

of the several United States.
To reduce Federal Money to the currency of
New-England,
Virginia,

RULE.-Multiply the given sum by ,3, and the 1. Kentucky, and

product will be pounds, and decimals of a Tennessee.

pound. New-York, and

RULE.--Multiply the given sum by ,4, and the 2. North Carolina.

product will be pounds, and decimals of a

pound.
New-Jersey,
Pennsylvania,

RULE.—Multiply the given sum by ,3, and di3. Delaware, and

vide the product by 8, and the quotient will

be pounds, and decimals of a poun 1.
Maryland.
South-Carolina,

Rule.-Multiply the given sum b,7 and and

divide by 3, the quotient will be the Georgia.

answer in pounds, and decimals of a

pound. Examples in the foregoing Rules. 1. Reduce $152, 60 cts. to New-England currency.

,3

£45, 780 Ans.=£45 15s. 7,2d.

20 But the value of any decimal of

a pound, may be found by inspec15, 600 tion. See Problem II. page 81.

12

7, 200

2. In $196, how many pounds, N. England currency?

,3 £58,8 Ans.=£58 16 3. Reduce $629 into New-York, &c. currency.

,4

£251,6 Ans.=£251 12 4. Bring $110, 51 cts. 1 m. into New-Jersey, &c. currency. $110,511

,3 Double 4 makes 8s. Then 39 farthings 8)331,53: are 9d. 3qrs. See Problem II. page 81.

£41,141 Ans.= 1 8s. 93 d. by Inspection. 5. Bring $65, 36 cts. into South-Carolina, &c. currency.

,7
3), 45, 752*
£15,250=£15 5s. Ans.
$ cts.

£

d. 6. Reduce 425,07 to N. E. &c. currency. 127 10 5 + 7. Reduce 36,11 to N. Y. &c. currency. 14 8 10+ 8. Reduce 315,44 to N. J. &c. currency. 118 5 9 + 9. Reduce 690,45 to S. C. &c.

currency.

161 2 1,2

ANSWERS.

3.

To reduce Federal Money to Canada and Nova Scotia currency. RULE.--Divide the dollars, &c. by 4, thu quotient will be pounds, und decimals of a pound.

EXAMPLES. 1. Reduce $741 into Canada and Nova Scotia currency.

$ cts. 4)741,00

£185,25=£185 5s. 2 Bring $311, 75 cts. into Nova-Scotia currency.

$ cts. 4)311,750

£77,9375=£77 18s. 9d. 3. Bring $2907, 56 cts. into Nova-Scotia currency.

Ans. £726 17s. 9 d. Reduce $2114, 50 cts. into Canada currency.

Ans. £528 12s. 60.

RULES for reducing the Currencies of the several United States,

also Canada, Nova Scotia, and Sterling, to the par of all the others. ERP See the given currency in the left hand column, and then cast your eye to the right hand, till you come under the required currency, and you will have the rule.

New-Eng- New Jersey,
land, Pir-Pennsylva-New-York, South-Ca- Canada,
ginia, Kon- nia, Dela- and North-rolina, and

and
tucky, and ware, and Carolina. Georgia. Nova Scotia
Tennessee. Maryland.

Sterling

Nero-England,

Virginia, Kentucky, and Tennessee.

Add one Add one Multiply the Multiply the Deduct one fourth to the third to the given bum!given sum fourth from given sum. given sum. by 7, and di- by 5, and di- the

vide the pro- vide the pro- sum. duct by 9. duct by 6.

given

[blocks in formation]

Add one Add one Multiply the Deduct one Canada fifth to the half to the given sum fitteenth

and Canada,&c. Canada by 8, and di- from the giNova Scotia

sum.

vide the proven sum. duct by 5.

Deduct one tenth from the given sum,

To the En- Multiply the Multiply the To the Eng- Add

one glish

sum English mo-English sum lish money ninth to the Sterling. add one ney by 5, and by 16, and add one given sum. third. divide

the divide the twenty-seproduct by3. product by9. venth.

Application of the Rules contained in the foregoing Table.

EXAMPLES. 1. Reduce 461. 10s. 6d. of the currency of New-Hampshire, into that of New Jersey, Pennsylvania, &c.

£. 3. d. See the rule

4)46 10 6 in the table.

+11 12 71

Ans. £ 58 3 11 2. Reduce 251. 13s. 9d. Connecticut currency, to NewYork currency.

£. S. d.

3)25 13 9 By the table, +}, &c. 1811 3

Ans. £34 50 3. Reduce 1251. 10s. 4d. New-York, &c. currency, to South-Carolina currency.

£. S. d. Rule by the table, 125 10 4 X7, -- by 12, &c.

7 12)878 12 4

Ans. £73 4.41 4. Reduce 461. 11s. Bd. New-York and N. Carolina currency, to sterling or English money.

£ s. d. 46 11 8

9

See the table. 16=4X4)419 50
X given sum by

4)104 16 3
9,-- by 16, &c.

Ans. £26 403 To reduce any of the different currencies of the several States into each other, at par; you may consult the preceding table, which will give you the rules.

MORE EXAMPLES FOR EXERCISE. 5. Reduce 841. 10s. 8d. New Hampshire, &c. currency, into New-Jersey currency.

Ans. £105 13s. 4d. 6. Reduce 1201. 8s. 3d. Connecticut currency, into NewYork currency

Ans, £160 11s. Od,

7. Reduce 1201. 10s. Massachusetts currency, into South Carolina and Georgia currency.

Ans. £93 14s. 5 d. 8. Reduce 4101. 18s. 11d. Rhode Island currency, inte Canada and Nova-Scotia currency.

Ans. £342 9s. ld. 9. Reduce 524l. 8s. 4d. Virginia, &c. currency, into ster ling money

Ans. £393 6s. 3d. 10. Reduce 2141. 9s. 2d. New-Jersey, &c. currency, into N. Hamp. Massachusetts, &c. currency. Ans. 1711. 11s. 4d.

11. Reduce 1001. New-Jersey, &c. currency, into NewYork and North-Carolina currency.

Ans. 1061. 13s. 4d. 12. Reduce 1001. Delaware and Maryland currency into sterling money,

Ans. 601. 13. Reduce 1161. 10s. New-York currency, into Connecticut currency.

Ans. 871. 7s, 6d. 14. Reduce 1121. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency. Ans. 1441. 9s. 3 d.

15. Reduce 1001. Canada and Nova-Scotia currency, into Connecticut currency.

Ans. 1201. 16. Reduce 1161. 14s. 9d. sterling money, into Connecticut currency.

Ans. 1551. 13s. 17. Reduce 1041. 10s. Canada and Nova-Scotia currency, into New-York currency.

Ans. 1671. 4s. 18. Reduce 1001. Nova-Scotia currency, into New-Jersey, &c. currency.

Ans. 1501,

RULE OF THREE DIRECT. THE Rule of Three Direct teaches, by having three numbers given to find a fourth, which shall have the same proportion to the third, as the second has to the first.

1. Observe that two of the given numbers in your question are always of the same name or kind; one of which must be the first number in stating, and the other the third number ; consequently the first and third numbers must always be of the same name, or kind; and the other number, which is of the same kind with the answer, or thing sought, will always possess the second or middle place.

2. The third term is a demand ; and may be known by these or the like words before it, viz. What will ? What cost? How many? How far? How long? or, How much? &c.

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