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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. 108, 8d. New Hampshire, &c. currency, into New Jersey currency.
Ans. £ 105 138. 4d. 6. Reduce 120l. 8s. 3d. Connecticut currency, into New-York currency.
1 Ans. £160 11s. Od. 7. Reduce 1201, !0$. Massachusetts currency, into South-Carolina and Georgia currency.
Ans. 93 148. 514. 8. Reduce 4101. 18s. 11d. Rhode Island currency, into Canada and Nova Scotia currency:
Ans. 6342 9s. 1d. 9. Reduce 524l. 8s. 4d. Virginia, &c. currency, into Sterling money.
Ans. £393 6s. 34. 10. Reduce 2141. 9s. 2d. New Jersey, &c. currency, into New Hampshire, Massachusetts, &c. currency.
Ans. '£171 1:18. 4d. 11. Reduce 1001. New Jersey, &c. curreney, into N. York and North Carolina currency.
Ans. £106 13s. 4d. 12. Reduce tool. Delaware and Maryland currency, into Sterling money:
Ans. $60. 13. Reduce 1161. 10s. New-York currency, into Connecticut currency.
Ans. 487. 7s, 6d. 14. Reduce 112. 7s. Sd. S. Carolina and Georgia cwrency, into Connecticut, &c. currency.
Ans.£144 Is. 31d. 15. Reduce 1901. Canada and Nova-Scotia currency, into Connecticut currency
Ans. £ 120. 16. Reduce 116l. 14s. 9d. Sterling money, into Connecticut currency
Ans. £155 135. 17. Reduce 104. 10s. Canada and Nova-Scotia curiency, into New-York currency. Ans. f167 4s.
18. Reduce 1001. Nova Scotia gurrency, into Newa Jersey, &c. currency.
RULE OF THREE DIRECT
DIR 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 num. bers must always be of the same name, or kind; and the other number, which is of the same kind with the answer, ør thing sought, will always possess the second or middle place. 2. The third term is a demand ; and
be known by these or the like words before it, viz. What will; What cost? How many? How far? How long i 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 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 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
5. Divide the first term by the second, and the third hy 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.
1. If 6 yards of cloth cost 9 dollars, what will 20 yards cost at the same rate ?
Yds. 8 Yds. Here 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.
Ans. 830. 2. If 20 yards cost 30 dols. 3. If 9 dollars will buy 6 what cost 6 yards?
yards, how many yards will Yds. S
Yds. so dollars buy 20 i 30 :: 6.
Syds. $ 6
9)180 Ans. 89
Ans. 20yds. 4. If 3 cwt. of sugar cost 81. 88. what will 11 cwt. 1 qr. 24 lb. cost? 3 cwt. 81. 8s. C. gr. lo.
1b. 112 20 11 1. 24 As 336 : 168 : : 12847b.
168 336 lb. 168s. 45
2016 1284 lb.
321.2s. 1411 ARS, 1344
5. If one pair of stockings cost 4s. 6d. what will 19 dozen pair cost ?
Ans. £ 51 6s. 6. If 19 dozen pair of shoes cost 511. 6s. what will one pair cost?
Ans, 4s. 6d. 7. At 10d. per pound, what is the vaļue of a firkin of butter, weight 56 pounds
Ans. £2 9s. 8. How much sugar can you buy for 23l. 2s. at 9d. a pound?
Ans. 5C. 2grs. 9. Bought 8 chests of sugar, cach 9 cwt. 2 grs. what do they come to at 21. 5s. per cwt. ? Jis. £171.
10. If a man's wages are 75l. 10s. a year, what is that a calendar month :
Ans. £, 6 5$. 10d. 11. If 44 tons of hay will keep 3 cattle over the winter; how many tons will it take to keep 25 cattle the same time?
Hus. 371 tons. 12. If a man's yearly income be 208l. 1s. what is that a day?
Ins. 11s. 4d. Szoqrs. 13. If a man spends 3s. 4d. per day, how much is that a year ?
Ans. £60 16s. 8d. *14. Boarding at 128. 6d. per week, how long will sal. 10s. last me?
15. A owes B 3475l. but B compounds with him for 159. 4d. on the pound ; pray what must he receive for lus debt?
Ans. £2316 18s. 4d. 16. A goldsmith sold a tankard for ôl. 12s. at 5s. 4de per ounce, what was the weight of the tankard ?
Ans. Alb. 8oz. 5pwt. 17. If 2 cwt. 3 qrs. 21 lb. of sugar cast 6l. 1s. 8d. what cost 354 cwt. ?
18. Bought 10 pieces of cloth, each piece containing 94 yards, at 11s. 4) pence per yard; what did the whole come to ?
Ans. £55 9s. Ojd.
Ans. 1 year.
NOTE 1. You must state the question, as taught in thie 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 inultiplying and dividing Federal Money,
19. If 7 yds. of cloth cost 15 dollars 47 cents, what will 12 yds. cost? Yds. 8 cts. yds,
7 : 15,47 : : 12
Ans. 26,52826, 52cts. But any sum in dollars and cents may be written down as a whole number, and expressed in its lowest denomination, as in the following example: (See Reduction of Federal Money, page 67.).
20. What will 1 qr. 9 lb. sugar come to, at 6 dollars 45 cts. per cwt. ? gr. 16.
lh. cts. 16. 19
As 112 : 645 : : 37 28
cts. 112)25865(213+ Ans.-82, 13.
NOTE 2 When tne first and third numbers are fede. ral money, you may annex cyphers, (if necessary) until you make their decimal places or tigures at the right hand of the separatrix, equal : which will reduce them to a like denomination. Then you may multiply and divide, as in whole numbers, and the quotient will express the answer in the least denomination mentioned in the second, or middle term.