RULES, for reducing the currencies of the several Uni to the par of all the others. See the given currency right hand, till you come under the required currency, Multiply the Multiply the Multiply the South-Cordi- given sum by given sum by given sum by na, and 9, and divide 45, and divide 12, and diGeorgia. the product the product by 7. Canada, by 28. vide the pro duct by 7. Multiply the Add one 5th Add one half given sum by and to the Cana-to the Canada 8, and divide ted States, also Canada, Nova-Scotia, and Sterling, each in the left hand column, and then cast your eye to the and you 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. en sum by 28, and from the given sum. given sum by 3, divide the product by 45. and divide the product by 5. Multiply the giv- Multiply the giv Multiply the en sum by 7, and en sum by 5, and given sum by 9, divide the product divide the product and divide the product by 16. by 12. by 8. APPLICATION. Of the Rules contained in the foregoing Table. EXAMPLES. 1. Reduce 467. 10s. 6d. of the currency of New-Hampshire, into that of New-Jersey, Pennsylvania, &c. 3. Reduce 1257. 108. 4d. New-York, &c. currency, to South-Carolina currency. Rule by the Table, £. s. d. 125 10 4 4. Reduce 461, 11s. 8d. New-York and North-Caro lina currency, to sterling or English Money. See the Table. Xgiven sum by 9-16, &c. £. s. d. 46 11 8 9 164×4)419 50 Arts. £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. York currency. 7. Reduce 1207. 10s. Massachusetts currency, into South-Carolina and Georgia currency. Ans. £105 13s. 4d. 6. Reduce 1201. 8s. 3d. Connecticut currency, into New- Ans. £93 14s. 51d. Ans. £342 9s. 1d. 8. Reduce 4101. 18s. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency. 9. Reduce 5241. 88 4d. Virginia, &c. currency, into Sterling money. Ans. £393 6s. 3d. 10. Reduce 214l. 9s. 2d. New-Jersey, &c. currency, into New-Hampshire, Massachusetts, &c. currency. Ans. £171 11s. 4d. 11. Reduce 100%. New-Jersey, &c. currency, into NewYork and North-Carolina currency Ans. £106 13s. 4d. 12. Reduce 100%. Delaware and Maryland currency into Sterling money. Ans. £60. 13. Reduce 1167. 10s. New-York currency, into Connecticut currency. Ans £87 7s. 6d. 14. Reduce 1121. 7s. 3d. S. Carolina and Georgia currency, into Connecticut, &c. currency. Ans. £144 9s. 33d. 15. Reduce 1007. Canada and Nova-Scotia currency, into Connecticut currency. Ans. £120. 16. Reduce 1167. 14s. 9d. Sterling money, into Con necticut currency. Ans. 155 13s. 17. Reduce 1047. 10s. Canada and Nova-Scotia curren Ans. £167 48. cy, into New-York currency. 18. Reduce 1007. Nova-Scotia currency, into New-Jer sey. &c. 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 nuch, &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 oth er 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. Or 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. |