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24. If the wages of 15 weeks come to 64 cols. 19 cts. what is a year's wages at that rate ?

Hus. $229, 394s. 5m. 25. A man bought sheep at I del. il cis.per licant, to the amount of dols. 6 cts. ; how many sheep did he buv :

tiis. 46. 26. Bought 4 pieces of cloth, each piece containing 31 yarıls, a: 168. 6. per vari, (New-Englanıl currency) what does the whole ainourit tu in federal money

Ans. $341. 27. When a lun of wine cost 140 lollars, what cost a

dus. Iets. 8, fill. 28. A merchant agreed with his devtor, that it ne. would pay hin down 65 cents on a dollar, lie would give him upa note of hand of 249 dillars, 88 cts. I demand what ile debtor must pay for his note:

Ans. 6162, 42ets. 2m. 29. Ir 12 horsey eat up 30 bushels of oats in a week, how many loushels will serve 13 horses the same time?

Hrs. 112. bust vls. 30. Bought a piece of cloth for $48 27 I dollar 19 cents per yarıl; how many yards did it contain:

dns. 40yils. 247's. 31. Brught 3 hhds of sugar, cach ucivling ä сwt. I gr. 12 lb. at 7 dullars, 26 cents per cut.. what cuine they too ?

Ans. $182 let. 8in. 32. What is the price of 4 pieces of clothi, the first piese containing 21, the second on the third 24, anıl the fourth 27 yards ao i dollar 43 cents at yard :

Ans. 8135 85ct:. :1 +23+25+27=95yds. 33. Bought 3 hhds. of branıly, containing 61, 62, 62) gallons, at dollar, 38 cents per yalioll, I demand how much they amount to:

tns. $23), 99.ts. 34. Suppose a gentleman's incoine is 1936 clllars a year, and he spenis 3 dollars 49 cents a car, we day with another, how much will he have saved at tie vear's end :

114. $512. 1jcts. 33. If any horse stands me in 20 cents per day keeping. wirt will be the charge of 11 borses for the jeit, in thias rule?

Ans. $803.

36. A merchant bought 14 pipes of wine, and is allow: ed 6 months credit, but for ready nioney gets it 8 cents a gallon cheaper; how much did he save by paying ready money?

Ans. $141, 12 cents.
EXAMPLES-Promiscuously placed.

37. Sold a ship for 5571. and I owned of her; what was my part of the money ? Ans. £ 201 7s. 6d.

38. If ts of a ship cost 781 dollars 25 cents, what is the whole worth?

As 5 : 781,25 : : 16 : 2500 Ans. $9. If I buy 54 yards of cloth for 31l. 10s, what did it cost per Ell English.

Ans. 14s. 7d.. 40. Bought of Mr. Grocer, 11 cwt. 3 grs. of sugar, at 8 dollar3 12 cents per cwt. and gave him Jaines Paywell's pots for 191. 7s.(New-England currency) the rest I pay in cash; tell me how many dollars will make up the balance ?

Ins. S90, 91 cts. 41. If a staff 5 feet long casts a shatle on level ground 8 feet, what is the heiglit of that stieple whose shade at the same time measures 181 feet ?. Ans. 113! ft.

42. If a gentleman has an income of 300 Englisli guineas & year, how much may he spend, onë day with another, to lay ap 500 dollars at the year's end ?

Ans. S2, 46cts. 5m. 43. Borgit 50 pieces of kerseys, each 34 Ells-Flemish, at Ss. 4d. per Ell-English; what did the whole cost?

Aus. 6425. 44. Bought 200 yards of cambrick for 90l. but being damaged, I am wiiling to lose il. 105. by the sale of it; what iust I demand per Ell-English? Ans. 10s. 3jd,

45. How many pieces of Holland, each 20 Ells.Flemish, may I have for 231. 8s. at 6s. 6d. per Ell-English ?

Ans. 6 pipres. 46. A merchant bought a bale of clothi containing 40 yarıls, at the rate of 75 dollars for 5 yarıls, and sold is again at the rate of 115 dollars for 7 yards; did he gain or lose by the bargain, and how much ,

Ans. He gained 825, 71cts 4mp

47. Bought a pipe of wine for 84. dollars, and found it nad leaked out 12 gallons; I sold the remainder at 12} cents a pint; what did I gain or lose ?

Ans. I gained 850. 48. A gentleman bought 18 pipes of wine at 12s. 6d. (New Jersey currency) per gallon ; how many dollars will pay the purchase ?

Ans. 83780. 49. Bought a quantity of plate, weighing 15 Ib. 11 oz. · 13 pwt. 17 gr. how many dollars will pay for it, at the rate of 125. 7d. New-York currency, per ounce ?

Ans. $501, 50cts. 297m.. 50. A factor bought a certain quantity of broadcloth and Hugget, which together cost 81l, the quantity of broadcloth was 50 yards, at 18s. per yard, and for every 5 yards of broadcloth he had 9 yards of drugget; I demand how inany yards of vrugget he had, and what it cost him per yard?

Ans. 90 yards at 8s. per yard. 51. III give 1 eagle, 2 dollars, 8 dimes, 2 cents and 5 mills, for 6.5 tops, how many tops will 19 mills buy ?

Ans, i top. - 52. Whereas an eagle and a cent just three score yards

did buy, Ilow many yards of tnat same cloth for 15 dimes had I?

Ans. Syds. Sgrs. 3nu. + 53. If the Legislature of a State grant a tax of 8 mills. on the dollar, how maci must that man pay who is 319 dol lars, 75 cents on the list!

Ans. 82, 55cts. 817. 54. IT 100 dollars yam 6 dollars interest in a year, how inuch wili 49 dollars gain in the same time?

Ans. 82, 94cts. 55. If 60 galions of water, in one hour, fall into a cistern containing 500 gallons, and by a pipe in tie cistern, 35 gallonis run out in an hour; in what time will it be filled :

Ans. in 12 hours. 56. A and B depart from the same place and travel the same road; but A goes 5 days before , at the rate of 15 unles a day, Blucions at the rate of 20 iniles a day; what distance nrust ne travel to overtake A?

Ans. Soo mila


I HF. Rule of Three Inverse, teaches by having the numbers given tw find a fourth, which shall have the same proportion to the second, as the first has to the third.

If more requires mure, or less requires less, the question belongs to the Rule of Three Direct.

But if more requires less or less requires more, the queso tion belongs to the Rule of Three Inverse ; which may alo ways be known from the nature and tenor of the question. For Example :

If 2 men can mow a field in 4 days, how many days will it require 4 men to mow it? men duys

men 1. If require 4 how much time will 4 require ? Answer, 2 duys. Here more requires less, viz. the more mei, the less time is required.

men duris 2. Ii 4 require 2 how much time will 2 require ? Answer, 4 days. Here less requires iwore, viz. tlre less the number uf nen are, the more days are required therefure the question belongs to Inverse Proportion.



1. State and reduce the terms as in the Rule of Three Direct.

2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle ierin was reduced into


1. If 12 men can build a wall in 20 days, how many men can do the same in 8 days?

Ins 311 men. 2. If a man performs a journey in 5 dave, when the day is 12 hours long, in how many days will to pertos su ip when the day is but 10 luurs long Ins. 6 days.

3. What length of board 77 inches wide, will make a m e fast?

Ano. 194 inchen

4. ¥ five dollars will pay for the carriage of 2 cwt. 150 miles, how far may 15 cwt. be carried for the same money ?

Ans. 20 miles. . 5. If when wheat is 78. 6d. the tashel, the penny loaf will weigh 9oz. what ought it to weigh when wheat is 6s. per bushel ?

Ans. 11oz. 5pwt. 6. If 30 hushels of grain, at 50 cts. per pushel, wil. pay a deut, how many bushels at 75 cents per bushel, will pay the same ?

Ans. 20 busheis. 7. If 1001. in 12 months gain 61. interest, wat principal will gain the same in 8 months ? . Ans. £,150.

8. If 11 men can build a house in 5 months, by working 12 hours per day-in what time will the same number of men dc it, when they work only 8 hours per day?

Ans, 74 months. 9. What number of men must be employed to finish in 5 days, what 15 men would be 20 days about?

Ans. 60 men. 10. Suppose 650 men are in a garrison, and their provisions calculated to last but two months ; how many men must leave the garrison that the same provisions may be sufficient for those who remain five months ?

Ans. 390 men. 11. A regiment of soldiers consisting of 850 men are to be clothed, each suit to contain 31 yds. of cloth, which is 13 yards wide, and lined with shalloon # yard wide; how many yards of shalloon will complete the lining?

Ans. 6941yds. 2grs. 2 na.


PRACTICE is a contraction of the Rue of Three Direct, when the first term happens to be an unit or one, and is a concise method of resolving most questions that occur in trade or business where money is reckoned in pounds, shillings and pence; but reckoning in Federal Money will render this rule almost useless : for which reason I shall not enlarge so much on the subject as many other writers have content

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