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24. If the wages of 15 weeks come to 64 dols. 19 cts. What is a year's wages at that rate ?
Ans. $222, 52cts. 5m... 25. A man bought sheep at 1 dol. 11 cts.per heat, to the amount of 51 dols. 6 cts. ; how many sheep did he buy?
ins, 46. 26. Bought 4 pieces of cloth, each piece containing 31 yards, at 16s. 6d. per yard, (New-England curency) what does the whole amount to in federal money ?
Ans. $341. 27. When a tun of wine cost 140 dollars, what cost a quart?
Ans. 15cts. 88 m. 28. A merchant agreed with his debtor, that if he would
pay him down 65 cents on a dollar, he would give him up a note of hand of 249 dollars, 88 cts. I demand what the debtor must pay for his note ?
Ans. $162, 42cts. 2m. 29. If 12 horses eat up 30 bushels of oats in a week, how many bushels will serve 45 horses the same time?
Ans. 112 busbels. 30. Bought a piece of cloth for 848 27 cts. at 1 dollar 19 cents per yard; how many yards did it contain ?
Ans. 40yds. 2qrs. 31. Bought 3 hhds of sugar, each weighing 8 cwt. I qr. 12 lb. at 7 dollars, 26 cents per cwt. what come they to ?
Ans. $182 1ct. 8m. 32. What is the price of 4 pieces of cloth, the first piece containing 21, the second 23, the third 24, and the fourth 27 yards at 1 dollar 43 cents a yard ?
Ans. $135 85cts. 21 +23+24+27="ges. 35. Bought 3 hhds. of brandy, containing 61. Porno gallons, at 1 dollar, 38 cents per gallon, I denand low much they amount to?
Ans. $255, 90:18. 34. Suppose a gentleman's income is 1836 dollars a year, and he spends 3 dollars 49 cents a day, one day with another, how much will he have saved at the year's end ?
Ans. $562, 15cts. 35. If my horse stands me in 20 cents per day keeping; what will be the charge of 11 horses for the year, at that rater?
56. A merchant bought 14 pipes of wine, and is allow ed 6 months credit, but for realy money gets it 8 cents a gallon cheaper; how much did he save by paying really money!
Jins. $141, 19 cents. EXAMPLES-Promiscuously placed. 57. Sold a ship for 5377. and I owned of her, what was my part of the money: 116. 4201 7s. Oil.
39. If of a ship cost 781 dollars 25 cents, what is the whole worth :
S As 5 : 781.25 : : 16 : 2500 Ans. 39. If I buy 54 yards of cloth for 3il. 10s. what did per El English ?
118. 14s. 71. 40. Bought of Mr. Grocer, 11 cwt. Sqrs. of sugar, at 8 dollars 12 cents per cwt. and gave him James Paywell's note for 191. 7s. (New England currency) the rest I pay in cash; tell me how many dollars will make up the balance ?
Sins. SS0, 91 ets. 41. If a staff 5 feet long casts a shade on level grounul 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 s0o English guin. eas a year, how much may he spend, one day with anoth. er, to lay up 500 dollars at the year's end :
Ans. $2, 46cts. 5m. 43. Bought 50 pieces of kerseys, each 3+ Ells-Flemish, at čs. 41. per El-English; what did the whole costi
Sns, f. 95. 44. Bought 200 yarls of cambrick for 901, but being «amaged, I am willing to lose 71. 105. by the sale of it; what must I demand per El-English ? Ans. 10s. 3d.
45. How many pieces of lojiasil, cach 20 Ells-Flemish, may I have for 251. 6s. at 6s. 6d. per En-English:
Ans. 6 pieces. 46. A merchant bought a bale of cloth containing 20 yards, at the rate of 75 dollars for 5 yards, and sold it again at the rate of 114 dollars for 7 yards; did he gaia or lose by the bargain, and how much?
Airs. He gained $25, 71 cts. 47
47. Bought a pipe of wine for 84 dollars, and found it had leaked out 12 gallons ; I sold the remainder at 123 cents a pint; what did I gain or lose ?
Ans. I gained $30. 48. A gentleman bought 18 pipes of wine at 129. 64. (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 12s. 70. New-York currency, per ol!nce ?
Ans. 8301, 50ct 2011. 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 yarils of drugget; I <lemand How many yards of drugyet he had, and what it cost him per yard
Ans. 90 yards at 8s. per yard. 51. If I give 1 eagle, 2 dollars 8 dimes, 2 cents and 5 mills, for 575 tops, how many tops will 19 mills buy ?
Ans. 1 top 52. Whereas an eagle and a cent just three score yards
did buy, How many yards of that same cloth for 15 dunes had I :
Ans. Syds. Sqrs. Sna. + 53. If the Legislature of a State grant a tax of 8 millis on the dollar, how much must that man pay who is 319 dollars, 75 cents on the list?
4:28. 89, jścis. Stolice 54. If 100 dollars gairi ó dollars interest in a year, how much will 49 dollars gain in the same thine :
*3. 89. Cri 55. If 60 gallons of water, in ne hour. fall to a su tern containing 300 gallons, and by a pipe in the charakterite 35 gallons run out in an hour : in what time will it te filleri ?
Wiss. in 19 hours, 36. A and B depart from the same place and trave the same wad; but A goes 5 des before i, at the rate of 15 miles a day; B follors at the rate of 20 milas a day; what distance must fie traicl to overtake A ?
n. 300 alla.
RULE OF THREE INVERSE. Tue of Three Inverse, teaches by having three
given to find a fourth, which shall have the same 230uon to the second, as the first has to the third.
If more requires more, or less requires less, the ques tio, balongs to the Rule of Three Direct:
But it 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 mowa field in 4 days, how many days will it require 4 men to inow it? days
aner 1. If 2 require 4 how much time will 4 re. quire ? Answer, 2 days. Here more requires less, viza the more men the less time is required, days
enen 2. If 4 require 2 how much time will re. quire ? Answer, 4 days. Here less requires more, viz. the less the number of men are, the more days are requir. ed-therefore 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 term was reduced into.
EXAMPLES. 1. If 12 men can build a wall in 20 days, tow many men can do the same in 8 days? Ans. 30 men.
2. If a man perforins a journcy in 5 days, when the day is 12 hours long, in how many days will le perform it when the day is but 10 hours long ins. 6 days.
3. Vhat length of board 73 inches wide, will make a Stuare foot
4. If five dollars will pay for the carriage of 2 cwt. 150 miles, how far may 15 cwt. be carried for the same maney :
Ans. 20 miles. 5. If when wheat is 7s. 6d. the bushel, the penny loat will weigh 9oz. what ought it to weigh when wheat is 6s. per bushel ?
Aris. 11oz. 5pwt. 6. If 30 hushels of grain, at 50 cts. per bushel, will pay a debt, how many bushels at 75 cents per bushel, will pay the same ?
Ans. 20 bushels. 7. If 100l. in 12 months gain 61. interest, what princigain
the same in 8 months ? Ans. $150. 8. If 11 men can build a house in 5 months, by working 12 bours per day-in what time will the same number of men do it, when they work only 8 hours per day?
Arts. 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. S90 men. 11. A regiment of soldiers consisting of 850 men are to be clotheil, each suit to contain 3} yds. of cloth, which is 14 yards wide, and lined with shalloon / yard wide how many yards of shalloon will complete the lining?
Ans. 694iyds. 2grs. %jna.
PRACTICE. PRACTICE is a contraction of the Rule of Three Direct, when the first term happens to be an unit or one, and is a concise method of resolving est questions that occur in trade or business where money is reckoned in pounds, shillings and pence; but recadinting in rederal Money will render this rule almost useless : for which reason I shall not enlarge so much on tie salject as nia, ny other writers have done.