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

Ans. $141, 12 cents.

EXAMPLES-Promiscuously placed.

of

sugar, at 8

37. Sold a ship for 5371. and I owned of her: what was my part of the money? Ans. £ 201 7s. 61.

38. If te 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 sil. 10s, what cial it cost per Ell English ?

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

Ans. S30, 91 cts. 41. If a staff 5 feet long casts a shade on level ground 8 feet, what is the heiglit of that stieple whose shade at the same time measures 181 feet ? Ans. 113ft.

42. If a gentleman has an income of S00 Englislı guineas & year, how much

may he spend, one day with another, to lay ap 500 dollars at the year's end ?

Ans. S2, 46cts, 5m. 43. Borght 50 pieces of kerseys, each 3+ Ells-Flemish, at Ss. 4d. per Ell-English; what did the whole cost ?

Aus. 6+25. 44. Bought 200 yards of cambrick for 901. but being damaged, I am wiling to lose il. 105. by the sale of it; what inust I venand per Ell-English ? Ans. 10s. Sid,

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

Ans. 6 pieces. 46. A merchant bought a bale of cloth containing 240 yards, at the rate of 75 dollars for 5 yarıls, and solel it again at the rate of 115 dollars for 7 yards; did he gain or lose by the bargain, and how much?

Ans. He gained $25, 71cts 4mp

47. Bought a pipe of wine for 84 dollars, and found it nad leaked out 12 gallons ; I sold the remainder at 123 cents a pint; what did I gain or lose?

Ans. I gained 850. 48. A gentleman bought 18 pipes of wine at 128. 6d. (New Jersey currency) per gallon ; how many dollars will pay the purchase ?

Ans. $3780. 49. Bought a quantity of plate, weighing 15 lb. 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. 267m.. 50. A factor bought a certain quantity of broadcloth and drugget, which together cost 81l, the quantity of broadcloth was 70 yards, at 18s. per yard, and for every 5 yards of broadcloth he had 9 yards of drugget; I demand How many yards of drugget he hail, and what it cost him per yard?

Ans. 90 yards at 8s. per yard. 51. Ill give 1 eagle, 2 dollars, 8 dimes, 2 cents and 5 mills, for 8.5 tops, how many tops will 19 mills buy?

Ans, 1 top. 52. Whereas an eagle and a cent just three score yards

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

Ans. Syds. Sqrs. Snu. + 53. If the Legislature of a State grant a tax of 8 mills on the dollar, how much must that man pay who is 319 dol lars, 15 cents on the list :

Ans. $2, 55cts. 818. 54. If 100 dollars van 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 soo gallons, and by a pipe in the cistern, 35 gallons run out in an hour; in what time will it be filled :

Ans, in 19 hours. 56. A and B depart from the saine place and travel the same road; but'.A goes 5 days before B, at the rate of 15 mes a lay , B Furiow's at the rate of 20 iniles a day; what distalice nrust ne travel to overtake A :

Ans. S00 rihat

RULE OF TIIREE INVERSE. The Rule of Thrce Inverse, teaches by havin:g tinan 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 nore, or less requires less, the question belongs to the Rule of Three Dirtct.

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

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

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

dans 2. Ii 4 require 2 ow much me will 2 require ? Answer, 4 days. Here less require's wore, viz. tlre less the number of men are, the more days are required--therefure the question belongs to Inverse Proportion.

men

men

men

men

RULE.

1. State and reduce the ternis 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 terin was reduced into

EXAMPLES.

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

Ins 30) men. 2. If a man performs a journey in 5 dav«, when the day is 12 hours long, in how many days will be perfortuit when the day is bui 10 luurs long :

Ins. 6 days. 3. What length of board 7 inches wide, will make a ne foot?

Ane. 194 inchen

ney?

per bushel ?

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

Ans. 20 miles. 5. If when wheat is 7s. 6d. the twshel, the penny loaf will weigh 9oz. what ought it to weigh when wheat is 6s.

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 100l. 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 de its when they work only 8 hours per day?

Ans. 7 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 syyds. of cloth, which is 14 yards wide. and lined with shalloon * yard wide ; how many yards of shalloon will complete the lining?

Ans. 694Îyds. 2qrs. 2 na.

PRACTICE. 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 come

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Tables of Nequot, or Eren Parts. Parts of a Shilling. Pars of a Pound. Parts of a cort. al.

Ib. cut. 6 is 10 0 is

56 is
68

28
s
5 (1)

16
2

40
12
3

7 Parts of 2 Shiliina

20
Is. is

1 8
811.
6d.

The alqinot part of any mulice 40.

is such a part vi it, as being taken a 3.1.

certain mw.ber rif times, exactly will

makes tiiat number.

CASE 1. When the price of one yarıl, pound, &c. is an ever part of one shi!in. Find the value of the given quantity at 1x. a raril, quindi, dice anil divide it by that even part, an'l the quotient will be the answer in slings, &u.

Or find the va'ue of the given qanuity alu. per yard, &c. and divide sais! value by the even pure which the given price is of zo. and the surtient will be the answer in shillings, &c. whion reduce to pounds. N. B. Tu, tind the value of any charity at 2. you neex

' only double the unit figure foi shillings; the other fig ares will be punids.

EXAMPI.ES.

1 What will 461 } yards of tape come to, at 13d persd!

13. 11 | 461 6 valuc of 461} yıls. at 1s. pe: yd.

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5.. 8}

£.! 1:3. Sid. raluc at 13r. 2. What cost 25611). of cheese at sil. per pound?

8d. / 123 124. value oi' 235/6. at 25. per les

£8 10s. 8d value of 8d. per pound.

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