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RULES, for reducing the currencies of the several Uni.. to the
of all the others. See the given currency right hand, till you come under the required currency,
N. England, New-Jersey,
Virginia, Pennsylvania, New-Fork,
and N. Carolina. Tennessee. Maryland. N. England, Virginia,
Add one 4th Add one sa Kentucky,
to the given to the given and Tennessee. New Jersey, Pennsylvania, Deduct one
Add one fif Delaware, fifth from the
teenth to the and given sum.
given sum. Maryland. New-l'ork,
Deduct one and 14th from the 16th from the North-Caro- New-York, New-York. lina. &c.
Multipiy the Multiply the Multiply the South-Caroli-given sum by given sum by given sum by
and 9, and divide 45,and divide i2, anil dit Georgia. the product the product vide the pro
eluct 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-Scotia. da, &c.
Multiply the Multiply the To the Eng-Engl'h money English sum lish sum add by 5, and di-by 16, and di
vide the pro-vide the progi duct by S. duct by 9.
W States, also Canada, Nova-Scotia, and Sterling, each in the left hand column, and then cast your eye to the and you
will have the rule.
Multiply the giv- Multiply the giv.
Deduct one en sum by 7, and en sum by 5, and fourth from the divide the poduct divide the product given sum. by 9.
by 6. Multiply the giv
Multiply the given sum by 28, and! Deduct owe thirdlen sum by 3, and divide the product from ine pran divide the product by 45.
Multiply the giv- Multiply the giv- Multiply the
given sum by 7, and en sum by 5, andjen sum by 9, and divide the product divide the product divide the product
Multiply the giva en sum by 15, and
From the given divide the product sum, deduct one by 14.
Deduct one fifHteenth from the given sum.
Deduct one tenth from the given sum.
To the English Add one ninth money add one to the given sum, twenty-seventh.
Of the Rules contained in the foregoing Table.
1. Reduce 461. 10s. 6d. of the currency of New Hampshire, into that of New-Jersey, Pennsylvania, &c
£ s. d. See the Role
4)46 10 6 in the Table.
+11 12 75
£. s. d.
Ans. £58 3 15 2. Reduce 25l. 13s. 9d. Connecticut currency, to New-York currency:
3)25 13 9 By the Table, +} &c. +8 11 3
Rule by the Table, 125 10 4
f. s. d.
Ars 673 44 4. Reduce 461. 11s. 8d. New-York and North-Caro lina currency, to sterling or English Money.
f. s. d.
See the Table. Xgiven sum by 9-16, &c.
16=4X4)419 5 0
4)104 16 3
Ans. £ 26 4 04
To reduce any of the Jifferent 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 8tl. 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. 57d. 8. Reduce 4101. 18s. 11d. Rhode Island currency, into Canada and Nova-Scotia currency.
Ans. £342 9s. 1d. 9. Reduce 5241. 88. 4d. Virginia, &c. currency, into Sterling money.
Ars. £,393 6s. 34. 10. Reduce 2141. 98. 2d. New-Jersey, *&c. currency, into New-Hampshire, Massachusetts, &c. currency..
Ans. £ 171 11s. 4d. 11. Reduce 1001. New Jersey, &c. currency, into N. York and North-Carolina currency.
Ans. £ 106 13s. 4d. 12. Reduce 100l. Delaware and Maryland currency, into Sterling money.
Ans. £60. 13. Reduce 1161. 10s. New-York currency, into Connecticut currency.
Ans. £87. 7s. 6d. 14. Reduce 1121. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency.
Ans. £ 144 9s. 3 d. 15. Reduce 100l. Canada and Nova-Scotia currency, into Connecticut currency.
Ans. 16. Reduce 1161. 14s. 9d. Sterling money, into Connecticut currency:
Ans. . 155 13s. 17. Reduce 1041. 10s. Canada and Nova-Scotia currency, into New-York currency. Ans. t. 167 4s.
18. Reduce 1001. Nova-Scotia currency, into NewJersey, &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 always be of the same name, or kind; and the uther 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 ? How much : &c.
RULE. 1. State the question ; that is, place the numbers só 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 denomination, and reduce the second term to the lowest name mentioned in it.
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 other denomination required.
The method of proof is by inverting the question.
NOTE.--The following methods of operation, when they can be used, perform the work in a much shorter manner than the general rule.
1. Divide the second term by the first; multiply the quotient into the third, and the product will be the answer. Or
2. Divide the third term by the first ; multiply the quotien into the second, and the product will be the answer.
5. Divide the first term by the second, and the third by that quotient, and the last quotient will be the answer. Or
4. Divide the first term by the third, and the second by that dotient and the last uotient will be the angwer.