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ted States, also Canada, Nova Scotia, and Sterling, each in the left hand column, and then cast your eye to the and you will liave the rule

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South Carolina, Canada,
and

and

Sterling Georgia. Nova-Scutia. Multiply the giv! Multiply the giv Deduct one en sum by 7, and en sum by 5, and fourth froin the divide the product divide the product given sum.“ by 9.

by 6. Multiply the giv- Deduct one third Multiply the en sum by 28, and from the given sum. given sum by 3, divide the product

and divide the by 45.

product by 5. Multiply the giva Multiply the give Multiply the en sum oy 7, and en sum by 5, and given sum by. I, divide the product divide the product and divide thé

product by 16.

one 6 to the

sum

by 12.

by 8.

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bly the

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970

To the English Add one ninth in money

vne the given sum twenty-seventh

ada

e

A "LIGATION.

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.

s. d. See the Rule

4)46 10 6 in the Table. +11 12 7+

£.

Ans. £. 58 3 1; 2. Reduce 231. 135. 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.

£. 8. d. Rule by the Table, 125 10 4 X7, by 12, &c.

7

12)878 12 4

Ans. 73 4 41 $ Reduce 461. 113. 8d. New-York and North-Caro lina currency, to sterling or English Money.

£. S. d.
46 11 8

9

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To reduce any of the different currencies of the several States into each other, at par ; you may consult the preos. ding Table, which will give you the Rules.

MORE EXAMPLES FOR EXERCISE.

5. Reduce 841. 108. 8d. New Hampshire, &c. ourrency, into New Jersey currency.

Ans. £105 13s. 4d. 6. Reduce 1201. 88. 3d. Connecticut currency, into NewYork currency,

Ans. £160 118. Od. 7. Reduce 1201. 108. Massachusetts currency, into South-Carolina and Georgia currency.

Ans. £93 148. 5 d. 8. Reduce 4101. 188. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency.

Ans. £842 98. id. 9. Reduce 5242 88 4d. Virginia, &c. currency, into Sterling money.

Ans. £393 6s. 3d. 10. Reduce 2141. 98. 2d. New-Jersey, &c. currency, into New-Hampshire, Massachusetts, &c. currency.

Ans. £171 118. 48. 11. Reduce 100l. New Jersey, &c. currency, into NewYork and North-Carolina currency . Ine. £106 13s. 4d.

12. Reduce 1001. Delaware and Maryland currency into Sterling money.

Ans £60. 13. Reduce 1161. 108. New-York currency, into Connecticut currency.

ins £$7 7s. 6d. 14. Reduce 1121. 78. 3d. S. Carolina and Georgia cur. rency, into Connecticut, &c. currency.

Ans. £144 Is. 3 d. 15. Reduce 1001. Canada and Nova-Scotia currency, into Connecticut currency.

Ans £120. 16. Reduce 1161. 148. 9d. Sterling money, into Con. necticut currency.

Ans. £ 155 138. 17. Reduce 1041. 10s. Canada and Nova-Scotia curren cy, into New-York currency.

Ans. £167 45. 18. Reduce 1001. Nova Scotia currency, into New-Jer. key. &c. currency.

Ans. £150.

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 ; con

onsequently 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 hefore it, viz. What will; What cost? How many ? How far ? How long? or, Ilow much, &c.

RULE. 1. State the question ; that is, place the numbers so that the first and third terms may be of the same kind; and the second term of the same kind with the answer, or thing sought.

2. Bring the first and third terms to the same denom. ination, and reduce the second term to the lowest promou

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3. Multiply the second and third terms together and divide their product by the first term ; the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any oth er denomination required.

The method of proof is by inverting the question.

NOTE.-The following methods of operation, when they can be usedi, perform the work in a much shorier manner than the geueral role.

1. Diviile the second term hy the first; multiply the quotiens into the third, 3) the product will be the answer. Or,

2. Divide the third term by the frst; multiply the quotient inco the second, and the proviuct will be the answer.

3. Divide the first term by the secol, and the third by that qunienit, anıl the last quotient will be the answer. Or,

Tvirto the first teris? by the third, au? the second by that qulour, and the last quotient will be the answer

EXAMPLES,

Yds. $

1. If 6 yards of cloth cost 9 dollars what will 20 yards cost at the same rate ?

Yds. Here 20 yards, which moves 6 : 9 : : 20 the question, is the third term ;

9 6 yds. the same kind, is the first, and 9 dollars the second.

6)180

2. If 20 yards cost 30 dols. what cost 6 yards ? Yds. $

yás. 20 : 30 :: 6

6

Ans. $30
3 If9 dollars will buy 6
yards, how many yards will
30 dollars bey?

$ yds.
9: 6 : : 30

6

8.

2,0)18,0

9180 Ans. $9

Ans. 20yds 4. If 3 cwt. of sugar cost 81. 8. what will 11 cwt. 1gr 24 lb, cost ? 3 crt. 81. 8s. C.

qr.

lb. 16. 112 20 11 1 24 As 336 : 168 : : 128416. 4

168 330lb. 1688. 45

10272 28

7704

1284 364

- -(2,0) 336)215712 64,2 2016

--321. 2s. .1411 Ans. 1344

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