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 125l. 10s. 4d. New-York, &c. South-Carolina currency. £. s. d. Rule by the Table, 125 10 4 currency, to 12)878 12 4 Ans. 73 4 41 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 16:4X4)419 5 0 Ans. £26 4 0} Tc 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 847. 10s. d. New-Hampshire, &c. currency, into New-Jersey currency. 6. Reduce 1201. 88. 3d. Connecticut currency, into NewYork currency. 7. Reduce 1207. 108. Massachusetts currency, into South-Carolina and Georgia currency. Ans. £105 13s. 4d. Ans. £160 118. Od. Ans. £93 14s. 51d. Ans. £842 9s. 1d. 8. Reduce 410. 18s. 11d. Rhode-Island currency, into Canada and Nova-Scotia currency. Ans. £393 6s. 3d. 9. Reduce 5247 8s, 4d. Virginia, &c. currency, into Sterling money. 10. Reduce 214l. 98. 2d. New-Jersey, &c. currency, into New-Hampshire, Massachusetts, &c. currency. Ans. £171 11s. 48. 11. Reduce 1007. New-Jersey, &c. currency, into New, York and North-Carolina currency Ans. £106 13s. 4d. 12. Reduce 1007. Delaware and Maryland currency Into Sterling money. Ans. £60. 13. Reduce 1167. 108. 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 98. 3 d. 15. Reduce 1007. Canada and Nova-Scotia currency, Ans. £120. into Connecticut currency. 16. Reduce 1167. 148. 9d. Sterling money, into Con Ans. £155 13s. necticut currency. 17. Reduce 1047. 10s. Canada and Nova-Scotia curren into New-York currency. cy, Ans. £167. 4ș. Ans. £150. 18. Reduce 1007. 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? 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 denom ination, 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 denommation 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 th last quotient will be the answer EXAMPLES. 1. If 6 yards of cloth cost 9 dollars what will 20 yards cost at the same rate? Here 20 yards, which moves the question, is the third term; 6 yds. the same kind, is the first, and 9 dollars the second. Yds. $ Yds. 6:9: 20 9 6180 2,0)18,0 6 Ans. $9 9)180 Ans. 20yds 4. If 3 cwt. of sugar cost 81. 88. what will 11 cwt. 1qr 24 lb..cost? 5. If one pair of stockings cost 4s. dozen pair cost. 6. If 19 dozen pair of shoes cost 517. pair cost? 7. At 101d. per pound, what is the butter weight 56 pounds? 8. How much sugar can you buy pound? 6d. what will 1s Ans. £51 6s. 6s. what will one Ans. 4s. 6d. value of a firkin of Ans. £2 9s. for 237. 2s. at 9d. a Ans. 5C. 2grs. 9. Bought 8 chests of sugar, each 9 cwt. 2qrs. what do they come to at 21. 5s. per e @wt. ? 365 Ans. £171. 10. If a man's wages are 757. 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 tons will it take to keep 25 cattle the same time? Ans. 37 tons. 12. If a man's yearly income be 2087. 18. what is that a day? Ans. 118. 4d. 373 grs. 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 32. 10s. last me? Ans. 1 year. 15. A owes B 34757. 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 Sl. 12s. at 5s. 4d. per ounce, what was the weight of the tankard ? Ans. 2lb. 8oz. 5pwt. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cost 67. 1s. 8d. what cost 351 cwt. ? Ans. £73. 18. Bought 10 pieces of cloth, each piece containing 9 yards, at 11s. 41⁄2 pence per yard; what did the whole come to ? Ans. £55 9s. Oad. 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. |