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2. Reduce 557. 10s. 6d. Nova-Scotia currency, to dollars

55,525 decimal value.

4

cts.

Ans. $222, 100=222 10

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

ANSWERS

$967 75

234 70

2115 53

4 50

899 80

2 79

4. Reduce 58 13

61

5. Reduce 528 17 8 6. Reduce 1 2 6 7. Reduce 224 19 0 8. Reduce 0

13 111

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,

1.

2.

Kentucky, and
Tennessee.

New-York, and
North Carolina.

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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 8, 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

£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. £41,441 Ans.=£al 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.

£ S. 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 91+ 9. Reduce 690,45 to S. C. &c. currency. 161 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. 9jd.

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.

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, Vir- Pennsylva- New-York, South-Ca-
ginia, Ken- nia, Dela- and North-rolina,, and
tucky, and ware, and Carolina. Georgia.
Tennessee. Maryland.

Canada, and Nova Scotia

Sterling

Add one Multiply the Multiply the Deduct one fourth to the third to the given Bum given Bum fourth from given sum. by 7, and di- by 5, and di-the given vide the provide the pro-sum. duct by 9. duct by 6.

New-England, Vir ginia, Ken

Add one

given sum.

tucky, and

Tennessee.

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glish

To the En-Multiply the Multiply the To the Eng-Add one
sum English mo- English sum 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-80-
product by3. product by9./venth.

Deduct one tenth from

the

given

sum.

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.

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

£. s. d. 3)25 13 9

By the table, +, &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 41

4. Reduce 467. 11s. 8d. New-York and N. Carolina currency, to sterling or English money. £ s. d.

46 11 8
9

See the table.

x given sum by 9,÷by 16, &c.

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 NewYork currency.

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

8. Reduce 4107. 18s. 11d. Rhode-Island currency, inte Canada and Nova-Scotia currency. Ans. £342 9s. 1d. 9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into ster ling 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. 1061. 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. 1201.

16. Reduce 1167. 14s. 9d. sterling money, into Connecticut currency. Ans. 1551. 13s. 17. Reduce 1047. 10s. Canada and Nova-Scotia currency, into New-York Ans. 1671. 4s. 18. Reduce 100%. Nova-Scotia currency, into New-Jer sey, &c. currency.

currency.

RULE OF THREE DIRECT.

Ans. 1501.

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 al ways 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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