7. Reduce 1207. 10s. Massachusetts currency, into South Carolina and Georgia currency. Ans. £93 14s. 51d.

8. Reduce 4107. 18s. 11d. Rhode-Island currency, int Canada and Nova-Scotia currency. Ans. £342 9s. Id. 9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into ster ling money. Ans. £393 6s. 3d. 10. Reduce 2147. 9s. 2d. New-Jersey, &c. currency, inta N. Hamp. Massachusetts, &c. currency. Ans. 1717. 11s. 4d. 11. Reduce 1001. New-Jersey, &c. currency, into New York and North-Carolina currency. Ans. 1067. 13s. 4d. 12. Reduce 100%. Delaware and Maryland currency inte sterling money. Ans. 601. 13. Reduce 1167. 10s. New-York currency, into Connec ticut currency. Ans. 871. 7s. 6d. 14. Reduce 1127. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency. Ans. 1447. 9s. 3 d. 15. Reduce 1007. Canada and Nova-Scotia currency, inte Connecticut currency. Ans. 1207.

16. Reduce 1167. 14s. 9. sterling money, into Connec ticut currency. Ans. 1557. 13s. 17. Reduce 1047. 10s. Canada and Nova-Scotia curren cy, into New-York currency. Ans. 1671. 4s.

18. Reduce 1007. Nova-Scotia currency, into New-Jer sey, &c. currency.

RULE OF THREE DIRECT.

Ans. 1501.

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 al ways 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, pl.ce the numbers so that the first and third terms may be of the same kind; and the second Ferm 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; and 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. 2. Divide the third term by the first; multiply the quotient into the second, and the product will be the answer.

Úr,
Or,
Or,

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 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.

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

Yds. $ Yds.

20:30 :: 6
&

Yds. $
6:9

Yds. : : 20

9

6)180 Ans. $30

2,0)18,0

Ans. $9

9)180

Ans. 20yd.

4. If 3 cwt. of sugar cost El. 8s. what will 11 cwt. I qr.

5. If one pair of stockings cost 4s. 6d. what will 19 do zen pair cost? Ans. £51 6s. 6. If 19 dozen pair of shoes cost 517. bs. what will one pair cost? Ans. 4s. 6d. 7. At 10 d. per pound, what is the value of a fir'in cl butter, weight 56 pounds? Ans. £2 9s.

8. How much sugar can you buy for 231. 2s. at 9d. pet pound? Ans. 5 C. 2 qrs. 9. Bought 8 chests of sugar, each 9 cwt. 2 qrs. what de they come to at 21. 5s. per cwt.?

Ans. £171. 10. If a man's wages be 75l. 10s. a year, what is that calendar month? Ans. £6 5s. 10d. 11. If 4 tuns of hay will keep 3 cattle over the winter; how many tuns will it take to keep 25 cattle the same time! Ans. 37 tuns. 12. If a man's yearly income be 2087. Is. what is that a day? Ans. 11s. 4d. 337 grs. 13. If a man spend 3s. 4d. per day, how much is that a year? Ans. £60 16s. 8d. 14. Boarding at 12s. 6d. per week, how long will 324 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 81. 12s. at 5s. 4d. per oz.what was tne weight of the tankard? Ans. 2 lb. 8 oz. 5 pwt. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cost 67. 1s. 8d. what Yost 35} cwt. 1 Ans. £73.

18. Bought 10 pieces of cloth, each piece containing 92 yards, at 11s. 4 d. per yard; what did the whole come to? Ans. £55 9s. O3d.

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 raay 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 will 12 yds cost? Yds. $ cts. yds.

7: 15,47 :: 12

12

7)185,64

Ans. 26,52-$26, 52 cts.

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 Fedeal Money, page, 62.)

20. What will 1 qr. 9 lb.

Ces. per cwt.? qr. lb.

sugar come to, at 6 dollars 45 lb. cts. lb.

1 9 As 112: 645 :: 37

NOTE 2. When the first and third numbers are federal ́money, you may annex ciphers, (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.

many yds. can ]

21. If 3 dols. will buy 7 yds. of cloth, how buy for 120 dols. 75 cts.? cts. yds. cts. As 300 : 7 :: 12075

23. If a man lay out 121, 23 in merchandise, and thereby gains $39 51 cts. how much will he gain by laying out $12 at the same rate? Cents. Cents. Cents.

As 12123 : 3951 : : 1200

1200

-cts. $cts.

12123)4741200(391=3,91 Ans.

36369

110430

109107

[Carried up.