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56. A merchant bought 14 pipes of wine, and is allowed 6 months credit, but for ready money 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 5371. and I owned of her; what was my part of the money ? Ans. £ 201 7s. 6d.

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

8 As 5 : 781,25 : : 16 : 2500 Ans. 39. If I buy 54 yards of cloth for 311. 10s. what did it cost per El English?

Ans. 14s. 7d. 40. Bought of Mr. Grocer, 11 cwt. 3 qrs. of sugar, at 8 dollars 12 cents per cwt. and gave himn James Paywell's note for 191. 78. (New-England currency) the rest I pay in cash ; tell me how many dollars will make up the balance ?

Ans. $30, 91 cts. 41. If a staff 5 feet long casts a shade on level ground 8 feet, what is the height of that steeple whose shade at the same time measures 181 feet ? Ans. 113ft.

42. If a gentleman has an income of 300 English guineas a year, how much may he spend, one day with another, to lay up 500 dollars at the year's end :

Ans. 82, 46cts. 5m. 43. Bo:ight 50 pieces of kerseys, each 34 Ells-Flemish, at 8s. 4d. per Ell-English'; what did the whole cost?

Ans. £425. 44. Bought 200 yards of cambrick for 901. but being damaged, I am wiiling to lose il. 10s. by the sale of it; what must i demand per Ell-English ? Ans. 10s. 3fd.

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 74 dollars for 5 yards, and sold it again at the rate of 114 dollars for 7 yards; did he gain or lose by the bargain, and how inuchi

Ans. He gained $25, 71cts. 4m. +

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 $30. 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 lb. 11 oz. 13 pwt. 17 gr. how many dollars will pay for it, at the rate of 128. 7d. New-York currency, per ounce ?

Ans. $501, 50cts. 2m. 50. A factor bought a certain quantity of broadcloth and drugget, 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 many yarus of drugyet he had, and what it cost him

Ans. 90 yards at 8s. per yard. 51. If I give 1 eagle, 2 dollars, 8 dimes, 2 cents and 5 mills, for 675 tops, how many tops will 19 mills buy?

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

per yard ;

did buy,

How many yards of tnat same cloth for 15 dimes had I ?

Ans. Syds. Syrs. 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 $19 dola lars, 75 cents on the list ?

Ans. $2, 55cts. 8m. 54. If 100 dollars gain 6 dollars interest in a year, how inuch will 49 dollars gain in the same time?

Ans. 82, 94cts. 55. If 60 gallons of water, in one hour, fall into a cistern containing 300 gallons, and by a pipe in tine cistern,

5 gallons 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 B, at the rate of 15 miles a day, B follows at the rate of 20 iniles a day ; what distauce must he travel to overtake A ?

Ans. 300 miles

RULE OF THREE INVERSE, THE Rule of Three Inverse, teaches by having three numbers given to find a fourth, which shall have the same proportion to the second, as the first has to the third.

If more requires more, or less requires less, the ques. tion belongs to the Rule of 'Three Direct:

But if more requires less or less requires more, the question belongs to the Rule of 'Three Inverse ; which may always 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?

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

days 2. If 4 require 2 how much time will quire ? Answer, 4 days. Here less requires more, viz. the less the number of men are, the more days are required-therefore the question belongs to Inverse Proportion,

men

inen

men

men

IC

RULE.

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 mildle term was reduced into.

EXAMPLES.

1. If 12 men can build a wall in 20 days, how many men can do the same in 8 days? Ans. 30 men.

2. If a man performs a journey in 5 days, when the day is 12 hours long, in how many days will he perform it when the day is but 10 hourg long?

Ans. 6 days, 3. What length of board 74 inches wide, will make z

Ans. 194 inches.

square foot ?

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

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

Ans, 110z. 5pwt. 6. If 30 hushels of grain, at 50 cts. per pushel, wil: pay a deur, how many bushels at 75 cento per pushel, will pay the same ?

ins. 20 busheis. 7. If 100l. in 12 montos gain 6l. interest, waat principal will gain the same in 8 months ?

Ans. £ 150. 8. If 11 men can build a hou se in 5 months, by working 12 hours per day-ın vhat time will the same number of men de it, 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 inonths ?

Ans. 390 men. 11. A regiment of soldiers consisting of 850 men are to be clothed, each suit to contain 34 yds. of cloth, which is 14 yards wide, and lined with shalloon #yard wide; how many yards of shalloon will complete the lining?

Ans. 6941yds. 2qrs. 2 na.

PRACTICE.

PRACTICE is a contraction of the Rue of Three Direct, when the first term happens to be an unit o ane, and is a concise method of resolving list questions that occur in trade or business where moner'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 inaoy other writers have done.

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Tables of Aliquot, or Even Barts. Parts of a Shilling. Pars of a Pound. Parts of a cwt d.

lb. cut.
6 is
100 is

56 is
4
68

28
3
5 (

16
2
40

14
11
3 4

7 Parts of 2 Shillings.

26
1s.

18
8d.
6d.

The aliquot part of any nuraber, 4d.

jis such a part of it, as being taken a 3d.

certain number of times, exactly 2d.

makes that number.

CASE I. When the price of one yard, pound, &c. is an even part of one shilling. Find the value of the given quantity at 1s. a yard, pound, &c. and divide it by that even part, and the quotient will be the answer in shillings, &c.

Or find the value of the given quantity at 28. per yard, &c. and divide said value by the even part which the given price is of 2s. and the quotient will be the answer in shillings, &c. which reduce to pounds.

N.B. To findethe value of any quantity at 28. you need only double the unit figure for shillings; the other fig ures will be pounds.

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EXAMPLES.

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! What will 4615 yards of tape coine to, at 1jd per vd

11d. 1 1 461 6 value of 461 yils. at 1s. pe: ye.

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5,7 81

62 17s. 8 d. value at 13d. 2. What cost 2561b. of cheese at 81. per pound?

8d. | } £25 12s. value of 2561b. at 2s. per I.

£8 10s. 8d value of 8d. per pound.

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