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Application of the Rules contained in the foregoing Table.
EXAMPLES. 1. Reduce 461. 10s.6d. of the currency of New-Ilampshire, into that of New Jersey, Pennsylvania, &c.
£. 3. d. See the rule
4)46 10 6 in the table.
+11 12 71
£ 58 3 13. 2. Reduce 251. 13s. 9d. Connecticut currency, to NewYork currency
£. S. d.
3)25 13 9 By the table, +}, &c. *8 11 3
Ans. £34 50 3. Reduce 1251. 10s. 4d. New-York, &c. currency, to South-Carolina currency.
£. $. d. Rule by the table, 125 10 4 X7, : by 12, &c.
7 12)878 12 4
Ans. £73 4 41 4. Reduce 461. Ils. Bd. New-York and N. Carolina currency, to sterling or English money. £ S, d.
46 11 8
See the table. ) 16=4X4)419 50
4)104 16 3
Ans. £26 401 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 841. 105. Ed. New-Hampshire, &c. currency, into New-Jersey currency.
Ans. £105 13s. 4d. 6. Reduce 1207.8s. 31. Connecticut curacy,
to New. York currency.
Ans. £160 11s. Od.
..7. Reduce 1201. 10s. Massachusetts currency, into South Carolina and Georgia currency.
Ans. £93 14s. 510. 8. Reduce 4101. 18s. 11d. Rhode Island currency, inty Canada and Nova-Scotia currency.
Ans. £342 Is. Id. 9. Reduce 5241: 8s. 4d. Virginia, &c. currency, into ster ling money.
Ans. £393 6s. 30. 10. Reduce 2141. 93. 2d. New-Jersey, &c. currency, into N. Hamp. Massachusetts, &c.currency. Ans. 1711. 11s. 40.
11. Red:ice 1001. New-Jersey, &c. currency, into NewYork and North-Carolina currency.
Ans. 1061. 13s, 4d. 12. Reduce 1001. Delaware and Maryland currency into sterling money,
Ans. 601. 13. Reduce 1161. 10s. New-York currency, into Connecticut currency.
Ans. 871. 7s. 6d. 14. Reduce 1121. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency.
Ans. 1441. 9s. 37d. 15. Reduce 1001. Canada and Nova-Scotia currency, into Connecticut currency.
Ans. 1201. 16. Reduce 1161. 14s. 9d. sterling money, into Connecticut currency:
Ans. 1557. 13s. 17. Reduce 1041. 10s. Canada and Nova-Scotia currency, into New-York currency.
Ans. 1671. 4s. 18. Reduce 1001. Nova-Scotia currency, into New-Jersey, &c. currency.
Ans. . 1501.
RULE OF THREE DIRECT. THE Rule of Three Dirert 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 he grown 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 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 samic denomination, and reduce the second term to the lowest name mentioned in it.
3. Multiply the second and thud terms logerber, 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 or operation, when hey can be used, perform the work in a inich shorter manner than the generar ruie.'
1. Divide the second terın by the first; multiply the quotient into the ihird, and the product will be the answer. Or,
2. Divide the third term by the lirsi; multiply the quotient into tie second, and the product will be the answer.
3. Divide the first termn by the second, and the third by thai quviient, 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 ?
Yds. Here 20 yards, which moves the 6:9 :: 20 question, is the third term; 6 yds.
9 the same kind, is the first, and 9 dollars the second.
Ans. $30 2. If 20 yards cost 30 dols. 3. If 9 dollars will buy 6 what cost 6 yards ?
yards, how many yards will Yds. Yds. 30 dols. buy? $yds. $ 29 : 30 : : 6
9: 6:: 30 6
9)180 Ans. $9
Ans. 20yd. 4. If 3 cwt. of sugar cost 81. 8s. what will 11 cwt. I qr. 24 lb. cost? 3 cwt. El. 8s. (
1b. 112 20
11 1 27 As 336 ; 168 :: 1284 lb.
4 335 lb. 168s.
45 (Carried up? 10272
672 5. If one pair of stockings cost 4s. 6d. what will 19 don zen pair cost?
Ans. £51 6s. 6. If 19 dozen pair of shoes cost 511. 6s. what will one pair cost?
Ans. 4s. 6d. 7. At 101d. per pound, what is the value of a firiin of butter, weight 56 pounds ?
Ans. £2 9s. 8. How much sugar can you buy for 231. 2s. at 9d. per pound?
Ans. 5 C. 2 grs. 9. Bought 8 chests of sugar, each 9 cwt. 2 qrs. what do they come to at 21. 5s. per cwt. ?
Ans. £171. 10. If a man's wages be 751. 10s. a year, what is that a calendar mouth?
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. 371 tuns. 12. If a man's yearly income be 2081. ls. what is that a day?
Ans. 11s. 4d. 37 qrs. 13. If a man spend 3s. 4d, per day, how p!uch is that a
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 3475l. but B compounds with him for 13s. 4d. on the pound; pray what must be receive for his debt?
Ans. £2316 13s. 4d. 16. A goldsmith sold a tankard för øl. 12:. at 5s. 4d. per oz. what was the weight of the tankard? Ans. 216.8oz. 5 pot.
17. If ? cwt. 3 qrs. 21 lb. of sugar cost 61. Is. éd. what cost 351 cwt. ?
18. Bough: 10 pieces of cloth, each piece containing 9 yards, at Ils. 4 d. per yard; what did the whole come to?
Ans. £55 Is. 0d.
FEDERAL MONEY. Note I. You must state the question, as taught in the Rules foregoing, and after reducing the first and tbird terms w the same name, &c. you may multiply and divide according to the rules in decimals; or by the rules for multiplying aud dividing Federal Money.
EXAMPLES. 19. If 7 yds. of cloth cost 15 dollars 47 cents, what will 12 yds. cost?
Yds. $ cts. yds.
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 denomization, as in ihe following example: (See Reduction of Federal Money, page 62.)
20. What will lor. 9 lb. sugar come to, at 6 dollars 45 cts. per cwt. ?