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21. If S dollars will buy 7 yards of cloth, how many yards can I buy for 120 dollars, 75 cents ?
cts, As 300 : 7 :: 12075
300)84525(281: Ans. 22. If 12 lb. of Tea cost 6 dols.
$ cts, 23. If a man lays out 121, 23 in merchandize, and thereby gains 39 dollars, 51 cts. how much will he gain by laying out 12 dollars at the same rate :
Cents. cents. cents.
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 heail, to the amount of 51 dols. 6 cts.; how many sheep did he buy?
Ans. 46. 26. Bought 4 pieces of cloth, each piece containing 31 yards, ač 16s. 6d. per yard, (New-England currency) what does the whole amount to in federal money?
Ans. S341. 27. When a tun of wine cost 140 dollars, what cost a quart?
Ans. 13cts. 8 ini. 28. A merchant agreed with his debtor, that it lie would
pay him down 65 cents on a duilar, he would give bim up a note of hand of 249 dollars, 88 cts. ; I demand what the debtor must pay for his note ?
Ans. $162, 42cts. 211!. 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 husbels, 30. Bought a piece of cloth for S-18 27 cts. at 1 dollar 19 cents per yard; how many yards did it contain ?
Ans. 40yds. 24rs. 100* 31. Bought 3 hhds of sugar, each weighing 8 cwt. I gr: 12 lb. at 7 dollars, 26 cents per cwt. what come they to?
Ans. $182 let. 81n. 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 i dollar 43 cents a yard?
jins. $135 85cts. 21 +25+24+27=95yds. 33. Bought 3 hhds. of brandy, containing 01, 63, 62] gallons, at 1 dollar, 58 cents per gallon, I leñand bow much they amount to?
Ans. $255, 99cts. 34. Suppose a gentleman's income is 1836 dollars a year, and he spends 'S 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 keering, what will be the charge of 11 horses for the year, il that rate?
36. A merchant bought 14 pipes of wine, and is allaxed 6 months credit, but for ready money gets it 8 cents a gallon cheaper; how much did he save by paying ready money
Ars. $141, 12 cents,
57. Sold a ship for 5571. and I owned of her; what was my part of the money? Ans. 2201 7s.6d.
38. If it of a siļip cost 781 dollars 23 cents, what is the whole worth ?
As 5 : 781,25 : ; 16 : 2500 Ans. 39. If I buy 54 yards of cloth for: Sil. 103. what did it cost per ell English?
Ans. 148, 7d. 40. Bought of Mr. Grocer, 11 cwt. Sqrs. of sugar, at 8 dollars 12 cents per cwt. and gave lim James Paywell's note for 191. 7s. (New-England currency) the rest I pay in caslı; tell me how many dollars will make up the balance ?
jins. $30, 91 cts. 41. If a staff 5 feet long casts a shade on level ground 8 feet, what is the height of that stueple whose shade at the same time measures 181 feet ? Ans. 115ft.
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. S2, 46cts. 5m. 43. Barght 50 pieces of kerseys, each 34 Ells-Flemish, at 88. 4d. per Ell-English ; what did the whole cost?
Ans. £425. 44. Bought 200 yards of cambrick for 90l. but being damaged, I am willing to lose 71. 10s. by the sale of it; what iust I demand per El-English? Ans. 10s. d.
45. How many pieces of Holland, each 20 Ells-Flemish, may I have for 231. 88. at 6s. 6d. per Ell-English:
Ans. 6 pieces, 46. A merchant bought a bale of cloth containing 240 yards, at the rate of 7 dollars for 5 yards, and sold it again at the rate of 11dollars for 7 yards; did he gait or lose by the bargain, and how much?
ns. He gained $25, 71cts. 471. +
47. Bought a pipe of wine far. 84 dollars, and found it had leaked out 12 gallons; I sold the remainder at 12 cents a pint; what did I gäin or lose ?
ins. 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. $3780. 49. Bought a quantity of plate, weighing 15 lb. 11 07.. 13 pwt. 17 gr. how many dollars will pay for it, at the rate of 12s. 7d. New-York currency, per ounce ?
Ans. 8301, 50cts. 2m. 50. A factor bought a certain quantity of broadcloth and drugget, which together cost 811, the quantity of broadcloth was 50 yards, at 18s. per yard, and for yards of broadcloth he had 9 yards of drugget; I demand how many yards of drugyet he had, and what it cost him
Hns. 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 How many yards of that same cloth for 15 dimes had I?
Ans. Syds. 3qrs. 3na. + 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 dollars, 75 cents on the list ?
Ans. $2, 55cts. 8m. 54. If 100. dollars gain 6 dollars interest in a year, how much 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 the cistern, 35 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 miles a day; what distance must be travel to overtake A ?
Art. 300 miles,
RULE OF THREE INVERSE. THE Rule of 'Three Inverse, toaches 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 l'equires 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 niven 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 2 require ? Answer, 4 days. Here less requires more, viz. the less the number of men are, the more days are requircd-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 iniddle terin was reduced into.
1. If 12 men cau build a wall in 20 days, how many men can do the same in 8 days?
Ans. SO 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 hours long ?
Ans. 6 days. 3. What length of board 74 inches wide, will make a
Ans. 19 inches.
square foot ?