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

55,525 decimal value.

4

cts.

Aus. $222, 100=222 10

3. Reduce 2417. 18s. 9d. to federal money,

4. Reduce 58 13 61

5. Reduce 528 17

8

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ANSWERS.

$967 75

234 70

2115 53

4.50

899 80

2.79

REDUCTION OF COIN.

RULES for reducing the Federal Money to the currencies of the several United States.

2.

3.

4.

To reduce Federal Money to the currency of

New-England,

Virginia,
Kentucky, and
Tennessee.

New-York, and
North Carolina.

New-Jersey,
Pennsylvania,
Delaware, and
Maryland.

South-Carolina,
and
Georgia.

RULE.-Multiply the given sum by,3, and the
product will be pounds, and decimals of a
pound.

RULE.-Multiply the given sum by,4, and the
product will be pounds, and decimals of a
pound.
RULE.-Multiply the given sum by ,3, and di-
vide the product by 3, and the quotient will
be pounds, and decimals of a pound.
RULE.-Multiply the given sum by ,7 and
divide by 3, the quotient will be the
answer in pounds, and decimals of a
pound.

Examples in the foregoing Rules.

1. Reduce $152, 60 cts. to New-England currency.

,3

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20 But the value of any decimal of a pound, may be found by inspecpage 81.

15, 600 tion. See Problem II.

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)331,533 are 9d. 3qrs. See Problem II. page 81. £41,441 Ans. £41 8s. 93d. by Inspection.

5. Bring $65, 36 cts. into South-Carolina, &c. currency. ,7

3),45, 752

£15,250 £15 5s. Ans.

$cts.

ANSWERS.

£ 8. d.

8 10+

6. Reduce 425,07 to N. E. &c. currency. 127 10 5 + 7. Reduce 36,11 to N. Y. &c. currency. 14 8. Reduce 315,44 to N. J. &c. currency. 118 9. Reduce 690,45 to S. C. &c. currency. 161

59+ 2 1,2.

To reduce Federal Money to Canada and Nova-Scotia currency. RULE.-Divide the dollars, &c. by 4, the quotient will be pounds, and 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. Ifd.

4. Reduce $2114, 50 cts. into Canada currency.

Ans. £528 12s. 6d.

RULES for reducing the Currencies of the several United States, also Canada, Nova Scotia, and Sterling, to the par of all the others.

and you

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, will have the rule.

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Add one Add one Multiply the Multiply the Deduct one fourth to the third to the given sum given sum fourth from given sum. by 7, and di-by 5, and di-tho given vide the provide the pro-sum.

given sum.

duct by 9. duct by 6.

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Add one

To the En-Multiply the Multiply the To the Eng-
glish sum English mo- English sun lish money ninth to the
one ney by 5,and by 16, and add
one given sum.

Sterling. add

third.

divide the divide the twenty-s0-
product by3. product by9. venth.

Application of the Rules contained in the foregoing Table.

EXAMPLES.

1. Reduce 467. 10s. 6d. of the currency of New-Hampshire, into that of New-Jersey, Pennsylvania, &c.

See the rule

in the table.

£. s. d. 4)46 10 6 +11 12 74

Ans. £ 58 3 13

2. Reduce 251. 13s. 9d. Connecticut currency, to NewYork currency.

£. s. d. 3)25 13 9

By the table, +1, &c. +8 11 3

Ans. £34 50

3. Reduce 1257. 10s. 4d. New-York, &c. currency, to South-Carolina currency.

Rule by the table,
X7, by 12, &c.

£. s. d.

125 10 4

7

12)878 12 4

Ans. £73 4 4

4. Reduce 467. 11s. Sd. New-York and N. Carolina cur

rency, to sterling or English money.

See the table.)

× given sum by 9,÷by 16, &c.

£ s. d. 46 11 8 9

16-4×4)419 5 0
4)104 16 3

Ans. £26 4 03

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 847. 10s. 8d. New-Hampshire, &c. currency,

into New-Jersey currency.

Ans. £105 13s. 4d..

Ans. £160 11s. Od.

6. Reduce 1207. 8s. 3d. Connecticut currency, into New York currency.

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7. Reduce 1201. 10s. Massachusetts currency, into SouthCarolina and Georgia currency. Ans. £93 14s. 51d.

8. Reduce 4107. 18s. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency. Ans. £342 9s. 1d. 9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into sterling money. Ans. £393 6s. 3d. 10. Reduce 2147. 9s. 2d. New-Jersey, &c. currency, , into N. Hamp. Massachusetts, &c. currency. Ans. 1717. 11s. 4d. 11. Reduce 100%. New-Jersey, &c. currency, into NewYork and North-Carolina currency. Ans. 1067. 13s. 4d. 12. Reduce 1007. Delaware and Maryland currency into sterling money. Ans. 601. 13. Reduce 1167. 10s. New-York currency, into Connecticut currency. Ans. 871. 7s. 6d. 14. Reduce 1127. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency. Ans. 1441. 9s. 3 d. 15. Reduce 1007. Canada and Nova-Scotia currency, into Connecticut currency. Ans. 1207.

16. Reduce 1167, 14s. 9d. sterling money, into Connecticut currency. Ans. 1557. 13s. 17. Reduce 1047. 10s. Canada and Nova-Scotia currenAns. 1671. 4s.

cy, into New-York currency. 18. Reduce 1007. 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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