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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

See the Rule

in the Table.

£ s. d. 4)46 10 6

+11 12 7

Ans. £58 S 1

£. s. d.

3)25 18 9

2. Reduce 251. 15s. 9d. Connecticut currency, to New-York currency.

By the Table,+ &c. +8 11 3

Ans. £34 5 0

3. Reduce 125. 10s. 4d. New-York, &c. currency, te

South-Carolina currency.

£. s. d.

Rule by the Table,
X7,÷by 12, &c.

125 10 4

7

12,878 12 4

Ars £73 4 41

4. Reduce 46l. 11s. 8d. New-York and North-Caro lina currency, to sterling or English Money.

£. s. d.
46 11 8
9

See the Table.
given sum by
9415, &c.

16=4×4)419 50
4)104 16 S

Ans. £26 4 0

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 8. 10s. 8d. New-Hampshire, &c. currency, into New-Jersey currency.

6. Reduce 120l. 8s. 3d. Connecticut currency, into New-York currency. 7. Reduce 1201. 10s. Massachusetts currency, inte South-Carolina and Georgia currency.

Ans. 105 13s. 4d.

Ans. £160 11s. Od.

Ans. £93 14s. 5td.

8. Reduce 410l. 18s. 11d. Rhode-Island to Canada and Nova-Scotia currency.

currency, in

Ans. £342 9s. Id.

9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into Sterling money. Ans. £393 6s. 34. 10. Reduce 214l. 9s. 2d. New-Jersey, &c. currency, into New-Hampshire, Massachusetts, &c. currency. Ans. £.171 11s. 4d. 11. Reduce 100l. New-Jersey, &c. currency, into N. York and North-Carolina currency.

Ans. 106 138. 4d. 12. Reduce 1001. Delaware and Maryland currency, into Sterling money. Ans. £60. 13. Reduce 116l. 10s. New-York currency, into Connecticut currency. Ans. £87. 7s. 6d. 14. Reduce 112l. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency.

Aus. £144 9s 37d. 15. Reduce 1001. Canada and Nova-Scotia currency,

Anto Connecticut currency.

Ans. £ 120.

16. Reduce 1167. 14s. 9d. Sterling money, into Con

necticut currency.

17. Reduce 1041. 10s. Canada rency, into New-York currency. 18. Reduce 100l. Nova-Scotia Jersey, &c. currency

Ans. £155 13s. and Nova-Scotia cur

Ans. £167 4s. currency, into NewAns. £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 oroportion to the third, as the second has to the first.

1. Observe that two of the given numbers in you question are always of the same name, or kind; one ot 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 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, low 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 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 quo tient into the third, and the product will be the answer

Or

2. Divide the third term by the first: multiply the quotient mto the second, aid the product will be the answer. ()3. Divide the first term by the second, and the third by that quotient, and the last quotient will be the answer. 4. Divide the first term by the third, and the second by tuotient and the last uotient will be the answer.

Or

EXAMPLES.

1. If 6 yards of cloth cost 9 dollars, what will 20 yards

cost at the same rate?

Here 20 yards, which moves the question, is the third term; 6 yds. the same kind, is the first, and 9 dollars the second.

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I'ds. 8

Jas.

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Ans. 89

4. If 3 cwt. of sugar cost 81. 88. what will 11 cwt. I qr.

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5. If one pair of stockings cost 4s. 6. what will 19 dozen pair cost? 6. If 19 dozen pair of shoes cost 517.

pair cost

Ans. 451 6s. 6s. what will one Ans. As. 6d.

7. At 10d. per pound, what is the value of a firkin of butter, weight 56 pounds?

Ans. £2 9s.

8. How much sugar can you buy for 231 23. at 9d. a pound: Ans. 7C. 2yrs.

9. Bought 8 chests of sugar, each 9 cwt. 2 qrs. what do they come to at 2. 58. per cwt.? Ans. £ATA. 10. "If a man's wages are 751. 10s. a year, what is that a calendar month ? Aus. £6 58. 10d. 11. If 43 tons of hay will keep 3 cattle over the winter; how many tons will it take to keep 25 cattle the same time: Ans. 371⁄2 tons. 12. If a nan's yearly income be 2087. Is. what is that a day? Ans. 11s. 4d. 37 yrs. 13. If a man spends Ss. 4d. per day, how much is that Ans. £60 16s. Ed.

a year?

14. Boarding at 12s. 6d. per week, how long will 3A. 10s. last me? Ans. 1 year. 15. A owes B 34751. but B compounds with him for 138. 44. on the pound; pray what must he receive for his debt? Ans. £2516 13s. 4d. 16. A goldsmith sold a tankard for 8. 12s. at 5s. 4d. per ounce, what was the weight of the tankard Ans. 2lb. 8oz. 3pnet. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cost 67. 1s. 8d. what cost $54 cwt. ? Ans. £73.

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18. Bought 10 pieces of cloth, each piece containing 9 yards, at 11s. 43 pence per yard; what did the whole come to ? Ans. £55 9s. Ojd.

FEDERAL MONEY.

NOTE 1. You must state the question, as taught in the Rules foregoing, and after reducing the first and thi d terras to the same name, &c. you may muviply and diide according to the rules in decimals; on by the rules) or multiplying and dividing Federal Money.

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