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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.
£. $. d. See the Rule 4)46 10 6 in the Table. +11 12 7
Ans. £. 58 3 1} 2. Reduce 257. 13s. 9d. Connecticut currency, to NewYork currency.
£. s. d.
3)25 13 9 By the table, + ý &c. +8 11 3
Ans. £34 50 3. Reduce 1251. 108. 4d. New-York, &c. currency, to South-Carolina currency.
£. 8. d. Rule by the Table, 125 10 4 X7,+by 12, &c.
Ans. £ 73 4.4 4. Reduce 461, 11s. 8d. New-York and North-Caro lina currency, to sterling or English Money,
£. s. d.
See the Table. xgiven sum by 9+16, &c.
4)104 16 3
Ars £26 4 03
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. 10s. 8d. New-Hampshire, &c. currency, into New-Jersey currency.
Ans. £105 135. 4d. 6. Reduce 1201. 88. 3d. Connecticut currency,iuto NewYork currency.
Ans. £160 11s. Od. 7. Reduce 1201. 10s. Massachusetts currency, into South-Carolina and Georgia currency:
Ans. £93 145. 5 d. 8. Reduce 4101. 188. 11d. Rhode Island currency, into Canada and Nova Scotia currency.
Ans. £342 9s. ld. 9. Reduce 5241. 88 4d. Virginia, &c. currency, into Sterling money.
Ans. £393 6s. 3d. 10. Reduce 2141. 98. 2d. New-Jersey, &c. currency, into New-Hampshire, Massachusetts, &c. curency.
Ans. £171 118. 4d. 11. Reduce 1001. New Jersey, &c. currency, into NewYork and North-Carolina currency Ins. £106 13s. 4d.
12. Reduce 1001. 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 112. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency.
Ans. £144 98. 3 d. 15. Reduce 1001. Canada and Nova-Scotia currency, into Connecticut currency.
Ans. £120. 16. Reduce 1161. 145. 9d. Sterling money, into Con. necticut currency.
Ins. $155 138. 17. Reduce 1041. 10s. Canada and Nova-Scotia curren cy, into New-York currency:
Ans. £167 48. 18. Reduce 1001. Nova Scotia currency,
into New-Jer. sey. &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 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 ? Ilow many ? How far? How long ? or, How nyuch, &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
othcr denomination required.
The method of proof is by inverting the question. NOTE.---The following methods of operation, when they can be sised, perform the work in a much shorter manner than the general role.
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.
3. Divide the first term by the second, and the third by thet 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.
1. If 6 yards of cloth.cost 9 dollars what will 20 yards cost at the same rate ?
Yds. $ Yd3. Here 20 yards, which moves 6:9:: 20 the question, is the third term ;
9 6 yds. 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 dollars buy? 20 : 30 :: 6
$ yds. $ 6
9 : 6:: 30
9)180 Ans. $9
Ans. 20yds. 4. If 3 cwt. of sugar cost 81. 85. what will 11 cwt. 1qı. 24 lb. cost ? 3 cut. 81. 88. C. gr. lb.
16. 112 20 11 1 24 As 336 : 168 :: 128416.
168 33616. 1688. 45
2016 1284 I.
-321. 28. 1411 Ans. 1344
5. If one pair of stockings cost 4s. 6a. what will 19 dozen pair cost.
Ans. £51 6s. 6. If 19 dozen pair of shoes cost 51l. 6s. what will one pair cost?
Ans. 4s. 6d. 7. At 10/d. per pound, what is the value of a firkin of butter weight 56 pounds ?
Ans. £2. Is. 8. How much sugar can you buy for 231. 2s. at 9d. a pound?
Ans. 5C. 2qrs. 9. Bought 8 chests of sugar, each 9 cwt. 2qrs. what do they come to at 21. 5s. per cwt. ?
Ans. £171. 10. If a man's wages be 75l. 10s. a year, what is that a calendar month ?
Ans. £6 5s. 10d. 11. If 41 tons 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 2081. 1s. what is that a day?
Ans. 11s. 4d. 350grs. 13. If a man spend 3s. 4d. per day, how much 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 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 ounce, what was the weight of the tankard ?
Ans. 21b 8oz. 5pwt. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cost 61. Is. 8d. what cost 351 cwt. ?
Ans. £73. 18. Bought 10 pieces of cloth, each piece containing 93 yards, at 11s. 4) pence per yard ; what did the whole come to ?
Ans. £55 9s. O d.
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,