ted States, also Canada, Nova-Scotia, and Sterling, each In the left hand column, and then cast your eye to the and you I will have the rule. Multiply the giv- Multiply the giv Sterling. Deduct one en sum by 7, and en sum by 5, and fourth from the divide the product divide the product given sum. by 9. Multiply the giv by 6. Multiply the giv divide the product by 5. en sum by 28, and Deduct one third en sum by 3, and divide the product from the given by 45. sum. Multiply the giv- Multiply the giv- Multiply the given sum by 7, and en sum by 5, and en sum by 9, and divide the product divide the product divide the product by 12. by 8. by 16. APPLICATION Of the Rules contained in the foregoing Table. EXAMPLES. 1. Reduce 46l. 10s. 6d. of the currency of New-Hampshire, into that of New-Jersey, Pennsylvania, &c. See the Rule in the Table. £. s. d. 2. Reduce 25l. 13s. 9d. Connecticut currency, to New-York currency. Ans. £58 3 1} £. s. d. 3)25 13 9 By the Table,+ &c. +8 11 3 3. Reduce 125l. 10s. 4d. New-York, &c. South-Carolina currency. Rule by the Table, Ans. £34 5.0 currency, to X7, by 12, &c. 12)878 12 4 Ans. £75 44} 4. Reduce 461. 11s. 8d. New-York and North-CaroLina currency, to sterling or English Money. £. s. d. See the Table. Xgiven sum by 16=4x4)419 50 ARS. 26 4 01 To reduce any of the different currencies of the seve ral 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 120l. 8s. Sd. Connecticut currency, into New-York currency. Ans. £160 11s. Od. 7. Reduce 1201. 10s. Massachusetts currency, into South-Carolina and Georgia currency. ins. £93 14s. 5ld. 8. Reduce 410l. 18s. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency. Ans. £342 9s. 1d. 9. Reduce 5241. 8s. 4d. Virginia, &c. currency, into Sterling money. Ans. £395 6s. 3. 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. Anse £60. 13. Reduce 116l. 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. 34d. 15. Reduce 1001. Canada and Nova-Scotia currency, into Connecticut currency. Ans. £120. 16. Reduce 1167. 14s. 9d. Sterling money, into Con necticut currency. 17. Reduce 104l. 10s. Canada rency, into New-York currency. 18. Reduce 1001. Nova-Scotia Jersey, &c. currency. Ans. £155 13s. and Nova-Scotia cur Ans. £167 4s. currency, into NewAns. £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 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 ary 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. Or 1. Divide the second term by the first; multiply the quo-' tient 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. 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 Yds. Fds. 6:9: 20 9 6)180 Ans. $30 3. If 9 dollars will buy 6 yards, how many yards will 30 dollars buy? $ yds. $ 9:6:30 6 9)180 Ans. $9 Ans. 20yds. 4. If 3 cwt. of sugar cost 81. 8s. what will 11 cwt. 1 qr. 24 lb. cost? 3 cwt. 81. 8s. C. gr. lb. lb. S. 11 1 24 As 336 : 168 : : 1284lb. 45 28 364 92 1284 lb. |