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RULES, for reducing the currencies of the scveral Uni.
to the par of all the others. See the given currency right hand, till you come under the required currency,
N. England, New-Jersey,
Virginia, Pennsylvania, New York,
Add one 4th Add one 3de
to the given to the given and Tennessee. New Jersey, Pennsylvania, Deduct one
Add one fif
teenth to the
Deduct one and 4th from the 16th from the North-Caro- New-York, New-York. lina. &c.
Multiply the Multiply the Multiply the South-Caroli-given sum by given sum by given sum by
9, and divide 45, and divide 12, and did Georgia. the product the product vide the prod by 7.
duct by 7.
Multiply the Canada, Add one 5th Add one half given sum by
and to the Cana- to the Canada 8, and divide Nova-Seotia. da, &c.
by 5. Multiply the Multiply the
To the Eng-Engl'h money English sum Sterling. flish sun ada by 5, and di- by 16, and di.. one third.
vide the provide the pro
teed States, also Canalla, Nova-Scotia, and Sterling, each iri the left hand coluinn, and then cast your eye to the and you
will have the rule.
Multiply the yir. Multiply the gi
Deduct one en sum by :, and en sum bv 5, anellfourth from the divide the p ducidivide the productjgiven sum. by 9.
itv 6. Multiply the give
Multiply the vivo jen sulli by 28, and! Derluct one thirdlen suroi by s, and divide the product liom ne gre..
jelivide the proiluct bv 13. suill.
Multiply the gir. Multiply the giv. Multiply t'e gira en sum by in anden sum by 5, andler som bv 9, aw blivide the procluct livide the productivide the product
Of the Rules contained in the foregoing Table.
1. Reduce 461. 10s. 6.1. 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 71
Ans. £58 S15 2. Reduce 251. 15s. 9d. Connecticut currency, to New-York currency:
£. s. d. 3)25 13 9
By the Table, +1 &c. +8 11 3
Ans. £34 50 3. Reduce 125%. 10s. 4d. New-York, &c. currency, te South-Carolina currency.
Rule by the Table, 125 10 4
f. s. d.
12,878 12 4
Ars £73 4.41 4. Reduce 461. 11s. 8d. New-Yoock and Nurth-Cara lina currency, to sterling or English Money.
4. s. d.
46 11 8
See the Table. suren suru by 9411, &c.
4)104 16 S
Ans. £26 401
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 8 il. 10s. 8d. New-Hampshire, &c. currency, into New Jersey currency.
Ans. £ 105 15s. 4il. 6. Reduce 1201. 8s. 3d. Connecticut currency, into New-York currency.
Ans. £160 11s. Od. 7. Reduce 1201. !0s. Massachusetts currency, into South-Carolina and Georgia currency.
uns. £95 14s. 5td. 8. Reduce 4101. 18s. 11d. Rhode Island currency, into Çanaila and Nova Scotia currency,
Ans. £ 342 9s. Id. 9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into Sterling inoney.
uns. £.593 6s. 36. 10. Reduce 2141. 9s. 2d. New-jersey, &c. currency, into New-Hampshire, Massachusetts, &c. currency.
Ans. £171 Us. 4d. 11. Recluce 1001. New-lersey, &c. currency, into N. York and North-Carolina currency.
Ans. £: 106 138. 41l. 12. Reduce 1001. Delaware and Maryland currency, into Sterling money.
tus. ftio. 13. Reduce 1161. 10s. New-York currency, into l'onnecticut currency.
Ans. £87. :*. 6d. 14. Reduce 112. hs. 3d. S. ('arolina and Georgia currency, into Connecticut, &c. currency:
jus. 144 9$. 3;. 15. Recluce 1001. Canada and Nova Scotia curredicy, into Conecticut currency.
Hns. £ 120. 16. Reduce 116. 14s. 9d. Sterling money into l'onnecticut currency.
Ans. 153 13. 11. Reciuce 104. 10s. Canada and Nova--coca clipe rency, into New-York currency. Ans. 4.107 .
18. Reduce 1001. Nova-Sculia currency, intes NewJersex, &c. currency
RULE OF TIIREE DIRECT. The Rule of Three Direct Teachris, by having three numbers given to find a fourts, which shall have the same Oroportion to the thiril, as tlie second has lutie first.
1. Cobserve that two of the given numbers in your question are always of the same name, or kind; one of which must be the first nymer in stating, and the on.co the third number : consequently, the first and third aume bers must always be of the same name, or kind: anıl the uther number, i hicho is of the saine kind with the answer.
thing suylit, will always possess lie second or middle place.
2. Tlc iniril term is a demand ; and may be known: 'wy these or t.e like worls before it, viz. What will: What cost? How many? How für: llow long? ur, llow much : &c.
RULE.' 1. State the question : that is, place the numbers so that the first and thire terins may be of the same kind and tie second term of the same kind with the answer, ur thing sought.
2. Bring the first and third terms to the same denone ination, and reduce t.e second term to the lowest name mentioned in it.
3. Multiply the second and third terms together, and diviele their product by the first term; the quotient will be the answer to the question. in the sanie cien.mination you left the second term ini, which may be brought into any odier (lenoinination required.
The methodi vf proof is by inverting the question.
NOTE.-T!: following methods of operation, when they can be usedl, perform the work in a much slurfer manner than the prosperiod rule
1. Diviste el second forin !y the first : multiply the quo. tient i ito the inirol, and the product will hr the answer (or
2. Diviele ihe third sérni lig tior first: inultiply the quotient muto tin groeol. a ved the produe: will lop the mistir.
8. lived the first form any la second, and the thired his that quotient, and the la-t 7olirnt will be the answer. Or
4. Divide the first terın by the third, and the secood by that uotient and the last uotient will be the answer,