To reduce any of the different currencies of the sev. eral 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. 1s. 8d. New Hampshire, &c. currency, into New-Jersey currency. Ans. £105 13s. 4d. 6. Reduce 1201. gs. 3d. Connecticut currency into New-York currency. Ans. £160 Ils. Od. 7. Reduce 1201. 10s. Massachusetts currency, into South-Carolina and Georgia currency. Ans. £93 14s. 51d. 8. Reduce 4101. 18s. 11d. Rhode Island currency, into Canada and Nova Scotia currency. Ans. £342 98. ld. 9. Reduce 524l. 8s. 4d. Virginia, &c. currency, into Sterling money. Ans. £393 6s. 3d. 10. Re 2141. 9s. 2d. New-Jersey, &c. currency, into New Hampshire, Massachusetts, &c. currency. Ans. £171 11s. 4d. 11. Keduce 1001. New-Jersey, &c. currency, into New-York and North-Carolina currency: Ans. £106 13s. 4d. 12. Reduce 1001. Delaware and Maryland currency, into Sterling money. Ans, £60. 13. Reduce 116l. 103. New-York currency, into Connecticut currency: Ans. £97 78. 6d. 14. Reduce 1121. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency. Ans. £ 144 9s. 3 d. 15. Reduce 1001. Canada and Nova Scotia currency, into Connecticut currency. Ans. £120. 16. Reduce 116). 14s. 9d. Sterling money, into Connecticut currency. · Ans. £ 155 13s. 17. Reduce 1041. 10s, Canada and Nova Scotia cup rency into New-York currency. Ans. £167 48. 18. Reduce 1001. Nova-Scotia currency, into New Jersey, Sr. currency. Ans. £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 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 80 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 di. vide 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!, per. form the work in a much shorter manner than the general rule. 1. Divide the second terin 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 by 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. LXAMPLES. Yds. $ 1. If 6 yards of cloth cost 9 dollars what will 20 yards cost at the same rate ? Yds. Ilere 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. 6)180. Ans. $30 20. If 20 yards cost 30 dols. 3. If 9 dollars will buy 6 what cost G yards ? yards, how many yards will Yds. Yds. 30 dollars buy? $ yds. 9 : 6 :: 30 2,0)18,0 9)180 Ans. $9 Ans. 20yde 4. If 3 cwt. of sugar cost 8l. 88, what will 11 cwt. Igr. 24 lb, cost? 3 cwt. 81. 88. C. 91. ll. 112 20 11 1 24 As 336 : 168: : 128416 4 168 3361b. 1638. 45 10272 28 7704 1284 364 -(2,0) 92 336)215712(64,2 2016 1284 16. -321. 2s. 1411 Ans 1344 672 • per cwt. ? 5. If one pair of stockings cost 43. 6d.what will 19 dozen pair cost ? Ans. £51 68. 6. If 19 dozen pair of shoes cost 511. 6s. what will one pair cost ? Ans. 43. 6d. 7. At 10:1d. per pound, what is the value of a firkit of butter weight 56 pounds ? Ans. £2 93. 8. How much sugar can you buy for 231. 23. at 9d. a pound ? Ans. 5C. 2qrs. 9. Bought 8 chests of sugar, each 9 cwt. 2grs. what do they come to at 21. 58. Ans. £171. 10. If a man's wages are 751, 108. a year, what is that à calendar month? Ans. £6 59. 10d. 11. If 4 tons of hay will keep three cattle over the winter ; how many tons will it take to keep 25 cattle the same time? Ans. 371 tons. 12. If a man's yearly income be 2081. 1s. what is that a day? Ans. Ils. 4d. 3,74 qrs. 13. If a man spends 3s. 4d. per day, how much is that a year? Ans. £60 16s. 8d. 14. Boarding at 12s.6d. per week, how long will 321. 10s, last me? 15. A owes B 2475), but B compounds with him for 139. 4d. on the pound?? pray what must he receive for bis debt ? Ans. £2316 133. 4d. 16. A goldsmith sold a tankard for 81. 12s. at 58. 4d. per ounce, what was the weight of the tankard ? drs. 21b. 8oz. 5pwt. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cost 6l. Is. 8d. what cost 35% cwt. ? Ans. £73. 18. Bought 10 pieces of cloth, each piece containing. 9 yards, at 11s. 45 pence per yard; what did the whole come to? Ans. £55 98 04d. Ans. 1 year. 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 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, 52cts. But any sum in dolllars and cents may be writtendown as a whole number, and expressed in its lowest de nomination, as in the following example : (See reduc duction of Federal Money, page 67.) 20. what will 1 qr. 9 lb. sugar come to, at & dollars 45 cts. per cwt. ? 16. cts. 16. 1 9 As 112 : 645 : 28 37 gr. 16. : 37 9 NOTE 2. When the first and third numbers are fed eral 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 din vide, as in whole numbers, and the quotient will express the answer in the least denomination mentioned in the second or middle term. |