To reduce any of th 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 120l. 10s. Massachusetts currency, into South-Carolina and Georgia currency.

Ans. £93 14s. 54d.

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

Ans. £342 9s. 1d. 9. Reduce 524l. 8s. 4d. Virginia, &c. currency, into Sterling money. Ans. £393 6s. 3d. 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 13s. 4d. 12. Reduce 100l. Delaware and Maryland currency, into Sterling money. Ans. £60. 13. Reduce 1167. 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.

Ans. 144 9s. Sąd. 15. Reduce 1007. Canada and Nova-Scotia currency,

into Connecticut currency.

Ans. £120.

16. Reduce 116l. 14s. 9d. Sterling money, into Con

necticut currency.

17. Reduce 104ł. 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 685688

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 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.

RULE.

1. State the question; that is, place the numbers so that the first and third terms inay 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 rulc.

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 quotient into the second, and the product will be the answer.

Or

3. 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 quotient, and the last quotient will be the answer

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.

Yds. $ Yds.

6:9: 20

9

6)180

Ans. $30

3. If 9 dollars will buy 6 yards, how many yards will 30 dollars buy?

8 yds. 8

9:6:30

2,0)18,0

Ans. $9

6

9)180

Ans. 20yds.

4. If S cwt. of sugar cost 81. 8s. what will 11 cwt. 1 qr.

24 lb. cost?

s cwt. 81. 8s. C. gr. lb.

lb. S.

11 1 24 As 336: 168: : 1284lb.

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

6. If 19 dozen pair of shoes cost 511. pair cost?

Ans. £51'6s. 6s. what will one Ans. 4s. 6d.

7. At 10 d. 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. 2s. at 9d. a pound?

9. Bought 8 chests of sugar, each 9 do they come to at 21. 5s. per cwt. ?

Ans. 5C. 2qrs.

cwt. 2 qrs. what Ans. £171.

10. If a man's wages are 75l. 10s. a year, what is that

a calendar month ?

Ans. 6 5s. 10d. £ 11. If 4 tons of hay will keep 3 cattle over the winter; how many tons will it take to keep 25 cattle the same time? Ans. 37 tons. 12. If a man's yearly income be 208l. 1s. what is that Ans. 11s. 4d. 373 grs.

a year?

a day? 13. If a man spends 3s. 4d. per day, how much is that Ans. £60 16s. 8d. 14. Boarding at 12s. 6d. per week, how long will 321. 10s. last me? Ans. 1 year. 15. A owes B 34751. but B compounds with him for 13s. 4d. on the pound; pray what must he receive for his debt? Ans. £2316 13s. 4d. 16. A goldsmith sold a tankard for 8l. 12s. at 5s. 4d. per ounce, what was the weight of the tankard? Ans. 2lb. 8oz. 5pwt. 17. If 2 cwt. 3 qrs. 21 lb of sugar cost 6l. 1s. 8d. what Gost 35 cwt.? Ans. £73. 18. Bought 10 pieces of cloth, each piece containing 9 yards, at 11s. 4 pence per yard; what did the whole come to ? 'Ans. £55 9s. 0ąd.

f

FEDERAL MONEY.

NOTE 1. You must state the question, as taught in the Rules foregoing, and after reducing the first and third terms to the same name, &c. you may multiply and divide according to the rules in decimals; or by the rules for multiplying and dividing Federal Money.

EXAMPLES.

19. If 7 yds. of cloth cost 15 dollars 47 cents, what Yds. $cts. yds.

will 12 yds. cost?

7 : 15,47 : : 12
12

7)185,64

Ans. 26,52=$26, 52cts.

But any sum in dollars and cents may be written down as a whole number, and expressed in its lowest denomination, as in the following example: (See Reduction of Federal Money, page 67.)

20. What will 1 qr. 9 lb. sugar come to, at 6 dollars 45 cts. per cwt. ?

gr. lb.

28

1 9

37 lb.

NOTE 2. When the first and third numbers are federal money, you may annex cyphers, (if necessary) until you make their decimal places or figures at the right hand of the separatrix, equal: which will reduce them to a like denomination. Then you may multiply and divide, as in whole numbers, and the quotient will express the answer in the least denomination mentioned in the second, or middle term.