RULES, for reducing the currencies of the several Uni-· to the of all the others. See the given currency par right hand, till you come under the required currency, N. England, and Tennessee. New-Jersey, N. England, New-Jersey, Virginia, Pennsylvania, New-Fork, and Tennessee. Pennsylvania, Deduct one Delaware, fifth from the and given sum. Maryland. and and N. Carolina. Maryland. Deduct one) and 4th from the 16th from the North-Caro-New-York, New-York. Multiply the Multiply the Multiply the South-Caroli-given sum by given sum by given sum by 9, and divide 45, and divide 12, and di the product the product by 28. by 7. na, and Georgia. Canada, and Nova-Scotia.da, &c. Sterling. vide the product by 7. Multiply the Add one 5th Add one half given sum by to the Cana-to the Canada 8, and divide To the Multiply the Multiply the Eng-Engl'h money English sum lish sum add by 5, and di-by 16, and diJone third. vide the pro-vide the proj dnet by S. duct by 9. 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 paduct divide the product given sum. by 9. Multiply the giv by 6. en sum by 28, and Deduct one third en sum by 3, and divide the product from the gen by 45. sum. Multiply the giv divide the product by 5. 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. To the English Add one ninth money add one to the given sum. twenty-seventh. F 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 See the Rule in the Table. £ s. d. 4)46 10 6 +11 12 7 Ans. £58 3 1 £. s. d. 3)25 13 9 2. Reduce 25l. 13s. 9d. Connecticut currency, to New-York currency. By the Table,+ &c. +8 11 3 3. Reduce 1251. 10s. 4d. New-York, &c. currency, to South-Carolina currency. Rule by the Table, Ans. £34 5 0 X7,÷by 12, &c. 7 12)878 12 4 Ans £73 4 41 4. Reduce 46l. 11s. 8d. New-York and North-Caro lina currency, to sterling or English Money. 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 81. 10s. 8d. New-Hampshire, &c. currency, into New-Jersey currency. Ans. £105 13s. 4d. Ans. 160 11s. Od. 6. Reduce 120l. 8s. 3d. Connecticut currency, into New-York currency. 7. Reduce 1201. 10s. Massachusetts currency, into South-Carolina and Georgia currency. Ans. £93 14s. 54d. 8. Reduce 4102. 18s. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency. Ans. £342 9s. 1d. 9. Reduce 5241. 88. 4d. Virginia, &c. currency, into Sterling money. Ans. £393 6s. 32. 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 1001. Delaware and Maryland currency, into Sterling money. Ans. £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. 33d. 15. Reduce 100l. Canada and Nova-Scotia currency, into Connecticut currency. Ans. £120. 16. Reduce 116l. 14s. 9d. Sterling money, into Con necticut currency. 17. Reduce 104l. 10s. Canada rency, into New-York currency. 18. Reduce 100l. 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 any other denomination required. The method of proof is by iaverting 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 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. Or S. 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 notient and the last uotient will be the answer. |