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2. Reduce 551. 10s. 60. Nova-Scotia currency, to dollars
55,525 decimal value.
ANSWERS 3. Reduce 2411. 18s. 9d. to federal money, $967 75 4. Reduce 58 13 61
234 70 5. Reduce 528 17 8
2115 53 6. Reduce 1 2
4 50 7. Reduce 224 19
899 80 8. Reduce
0 13 ll}
REDUCTION OF COIN. Rules for reducing the Federal Money to the currencies
of the several United States. To reduce Federal Money to the currency
RULE.-Multiply the given sum by ,3, and tha 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 .
pound. Nex-Jersey, 3. Pennsylvania,
Rule.-Multiply the given sum by ,3, and di.
vide the product by 8, and the quotient w.. Delaware, and Maryland.
be pounds, and decimals of a pound. South-Carolina,
Rule.-Multiply the given sum b;' ,7 and 4. and
divide by 3, the quotient will be t! Georgia.
answer in pounds, and decimals of a
pound. Examples in the foregoing Rules. 1. Reduce $152, 60 cts. to New-England currency.
£45, 780 Ans.=£45 15s. 7,2d.
20 But the value of any decimal of
a pound, may be found by inspec15, 600 tion. Soe Problem II. page 81.
2. Io $196, how many pounds, N. England currency?
,3 £58,8 Ans. I£58 16 3. Reduce $629 into New-York, &c. currency.
£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.=£ql 8s. 9 d. by Inspection. 5. Bring $65, 36 cts. into South-Carolina, &c. currency.
,7 3),45, 752
£15,250=£15 5s. Ans.
ANSWERS, $ cts.
£ d. 6. Reduce 425,07 to N. E. &c. currency. 127 10 5 + 7. Reduce 36,11 to N. Y. &c. currency. 14 8 101+ 8. Reduce 315,44 to N. J. &c. currency. 118 5 93+ 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, tho 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. 9 d. Reduce $2114, 50 cts. into Canada currency.
Ans, £528 12s, 6d.
RULES for reducing the Currencies of the several United States, alre
Canada, „Vova Scolin, 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, lund,
Vir-Pennsylva-Nero-York, South-Caginia, Ken-niu, Dela, and North- rolina, and tucky, urdware, and Carolina. Georgia. Tennessee. Marylund.
and Nova Scotia
Neu- Ens. lanıb ginia, Kentucky, and Tennessee.
Add one Multiply the Multiply the Deduct one fourth to the third to the given sumigiven sum fowth from given sum. given sum. by 7, and di- by 5, and di- the given
vide the provide the pro- sun. duct by 9. duct by 6.
Neu. Tersen Deduct one
from nia, Dela- the given ware, and sum. Maryland.
Add one Multiply the Deduct one Multiply he fifteenth to given sum third frum given the given by 2 and iho
given by 3, and di suin. divide the sun.
vide the po product by
duct by . 45.
Deduct one Deduct one Nc10-York, fourth froin sixteenth and North- the New from the N. Carolina. York, &c. York.
Multiply the Multiply the Multiply the Igiven sum given sum given een by 7, and di- by 5, and di- by 9, and di vide the pro- vile the provide the TO duct by 12. duct by 8. duct by 16.
Multiply the Multiply the Multiply the South-Ca- given sum given surn given sum nolinu, and by 9, and di- by 45, and ly 12, and Georgia.
Multiply the From the
vide the pro-diviile the divide the duct by 7. product by product byi.
Add one Add
one Multiply the Deduct one Canada, fol to the half to the given sum filteenth
and Canada,&c. Canada ly, and di- from the giNova Scotia
vide the proven suin. duct by 3.
Deduct ong tenth
To the En- Multiply the Multiply the To the Eng- Add one
glish sum English mo- English sum lish money ninth to tho Sterling. add one ney by 5, and by 16, and add one given sum. third. divide the divide the twenty-30
product by3. prodluc! by!. /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.
£. . d. See the rule 4)46 10 6 in the table.
+11 12 7}
Ans. £ 58 3 11 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 1251. 10s. 4d. New-York, &c. currency, to South-Carolina currency.
£. $. d. Rule by the table, 125 10 4 X7, : by 12, &c.
7 12)878 124
Ans. £73 4 41 4. Reduce 461. 11s. 8d. New-York and N. Carolina curtency to sterling or English money. £ $. d.
46 11 8
See the table. ) 16=4X4)419 5 0 * given sum by
4)104 16 3 9, - by 16, &c.
Ans. £26 4 03 To reduce
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 New. York 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 5241. 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 New York and North-Carolina currency. Ans. 1061. 13s. 4d.
12. Reduce 1001. Delaware and Maryland currency into sterling money:
Ans. 001. 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. Is. 3;d.
15. Reduce 1001. Cazada and Nova-Scotia currency, into Connecticut currency.
Ans. 1201. 16. Reduce 1161. 14s. Id. sterling money, into Connccticut currency
Ans. 1551. 13s. 17. Reduce 1041. 10s. Canada and Nova-Scotia currency, into New-York currency.
Ans. 1671. 4s. 18. Reduce 1001. Nora-Scotia currency, into New-Jer sey, &c. currency.
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 al ways be of the same rame, 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.