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RULE OF THREE, DLRE-T- 93
18. Bought 10 pieces of cloth, each piece containing 9.
yards, at 11s. 4d. per yard; what did the whole come to? Ans. E559s. 0d. FEDERAL MONEY.
Note 1. You must state the question, as taught in the Rules foregoing, and after reducing the first and third terms to the same name, &c. yournay multiply and divide according to the rules in decimals; or by the rules for multiplying and dividing Federal Money.
Exam-PLEs. 19. If 7 yds. of cloth cost 15 dollars 47 cents, what will 12 yds cost? Yds. $ cts, yds. 7 : 15,47 : : 12 12
Ans. 26,52=$26, 52 cts. But any sum in dollars and cents may be written down as a whole number, and expressed in its lowest denomination, as in the following example: (See Reduction of Federal Money, page 62.) 20. What will 1 qr, 9 lb. sugar come to, at 0 dollars 45 tos. per cwt. 1 qr, lb. lb. cts. lb. 1 9. As 112 : 615 : : 37 28 37
94 RULE or THREE Duke CT.
Note 2. When the first and third numbers are federal money, you may annex ciphers, (if necessary,) until you make their decimal places or figures at the right hand of the separatrix, equal: which will reduce them to a like denomination. Then you may multiply and divide, as in whole numbers, and the quotient will express the answer in the least denomination mentioned in the second, or middle term.
21. If 3 dols, will buy 7 yds. of cloth, how many yds. can
buy for 120 dols. 75 cts.” cos. vols. cts. As 300 : 7 : : 12075
23. If a man lay out 121, 23 in merchandise, and thereby gains $39.51 cts, how much will he gain by laying out $13
at the same rate? Cents. Cents. Cents. As 12128 - 395.1 : : 1200 1200
–cts. - rts. 121:23)4741200(391=3,91 Ans. 35369
RULE OF THREE DIRECT- 95 13230 121:23 1107 24. If the wages of 15 weeks come to $64 19 cts what is a year's wages at that rate? Ans. $222, 52 cts. 5m.
25. A man bought sheep at $1 11 cts. per head, 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, at 16s. 6d. per yard, (New-England currency;) 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. 13 cts. Som. 28. A merchant agreed with his debtor, that if he would pay him down 65 cts on a dollar, he would give him up a note of hand of 219 dols. SS cts. I demand what the debtor taust pay for his note? Ans. $162.42 cts. 2m. 29. If 12 horses eat upoo bush. of oatsin a week, how many oushels will serve 45 horses the same time? Ans. 112 bush. 30. Bought a piece of cloth for $48.27 cts, at $1 19ets, per | 1 , how many yds. did it contain? Ans.40 yds. 24rs.”. 31. Bought 3 hlids of sugar, each weighing 8 cwt. I qr. 12 lb. at $7.25cts. per cwt. what come they to ? Ans. $182 1 ct. 8 m. 32. What is the price of 4 pieces of cloth, the first piece containing 21, the second 23, the third 24, and the fourth 17 yards, at 1 dollar 43 cents per yard? Ans. $13585cts. 21+23+24+27–95 ya's. 33. Bought 3 hlids of brandy, containing 61, 62, 62 olons, at I dollar 38 cts. per gallon, I demand how much they amount to? Ans. $255 99 cos. 34. Suppose a gentleman's income is $1836 a year, and he spends $3.49cts, a day, one day with another, how much will he have saved at the year's end? Ans.3562, 15 cts. 35. If my horse stand me in 20 cts, per day keeping, what will be the charge of 11 horses for the year, at that rate? Ans. $803.
96 RULE or Tukee direct.
36. A merchant bought 14 pipes of wine, and is allowed 6 months credit, but for ready money gets it 8 cts, a gallon cheaper; how much did he save by paying ready money? Ans. $141, 12 cts. Examples promiscuously placed. 37. Sold a ship for 5371 and I owned of her; what was my part of the money? Ans. E201 7.s. 6d. 38. If no of a ship cost 781 dollars 25 cents, what is the whole worth 2 As 5:781,25: ; 16 : $2500 Ans. 39. If I buy 54 yards of cloth for 311 10s. what did it cost per Ell English Ans. 14s. 7d. 40. Bought of Mr. Grocer, 11 cwt. 3 qrs. 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 dols. will make up the balance? Ans. $30, 91 cts.
41. If a staff 5 feet long cast a shade on level ground 8
feet, what is the height of that steeple whose shade at the same time measures 181 feet? Ans. 1131 ft.
42. If a gentleman have an income of 300 English gui
neas a year, how much may he spend, one day with ano. ther, to lay up $500 at the year's end? Ans. $2,46cts. 5m.
43. Bought 50 pieces of kerseys, each 34 Ells Flemish, at
8s. 4d. per Ell English; what did the whole cost? Ans. E425.
44. Bought 200 yards of cambrick for 901, but being damaged, I am willing to lose 71. 10s. by the sale of it; what
must 1 demand per Ell English? Ans. 10s. 33d.
45. How many pieces of Holland, each 20 Ells Flemish,
may I have for 23.8s, at 6s.[5d. per Ell English? Ans. 6pcs. 46. A merchant bought a bale of cloth containing 240 yds at the rate of 57* for 5 yds. and sold it again at the rate of $114 for 7 yards; did he gain or lose by the bargain, and how much Ans. He gained $25,71 cts, 4 m.-47. Bought a pipe of wine for 84 dollars, and found it had leaked out 12 gals. ; I sold the remainder at 12}cts, 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. $3780.
49. Bought a quantity of plate, weighing 15 lb. 11 oz. 13 pwt. 17 gr: how many dos. will pay for it, at the rate of 12s. 7d. New-York currency, per ox.” –ins. $301, 50, cts. 2, om.
50. A factor bought a certain quantity of broadcloth and drugget, which together cost Sil, the quantity of broadcloth was 50 yds., at 18s, per yd., and for every 5 yds. of broad cloth he had 9 yards of drugget; I demand how many yds. of drugget he had, and what it cost him per yard?
Ans. 90 yds. at 8s, per yd. 51. If I give Leagle, 2 dols. 8dimes, 2 cts and 5m. for 675
tops, how many tops will 19 mills buy? Ans. I top. 52. Whereas an eagle and a cent just threescore yards did buy,
How many yards of that same cloth for 15 dimes had I? Ans. 8 yds. 3 ors. 3 na.-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 dols. *5 cents on the list? Ans. $2, 55 cts, 8 m. 54. If 100 dols, gain 6 dols. interest in a year, how much will 49 dols. gain in the same time? Ans. $2, 94 cts. 55. If 60 gallons of water, in one hour, fall into a cistern containing 300 gallons, and by a pipe in the cistern 35 galons run out in an hour; in what time will it be filled 2 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 mile a day; what distance must he travel to overtake A1 Ans. 300 miles.
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 question 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: