EXAMPLES. 19. If 7 yds. of cloth cost 15 dollars 47 cents, what will 12 yds. cost ? Yds. $ cts. yds. 7 : 15,47 : : 12 12 7)185,64 Ans. 26,52 $26, 52cts. 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 67.) 20. What will iqr. 9 lb. sugar come to, at 6 dollars 45 cts. per cwt. ? 1b. cis. 1 9 As 112 : 6.45 : : 37 28 37 gr. 16. 37 16: 4515 1935 -~-cts. 112)23865(213+ Ans.=$2,13. 224 146 345 9 NOTE 2. When the first and third numbers are tederal money, you may annex ciphers, (if necessary) until you make their decimal places or figures at the right liand 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. EXAMPLES. 21. If 3 dollars will buy 7 yards of cloth, how many yards can I buy for 120 dollars, 75 cents ? cts. yds. cts. As 300 : : : 12075 7 yds. 300) 84525)2813 Ans. ) 2452 2400 525 300 12,33945 $cts.m. 225 Ans. 2828+mills,=2,82,8. 4 mills. 900(3qrs. 900 $ cts. 23. If a man lay out 121, 23 in merchandise, and thereby gains, 39 dollars, 51 cts. how much will he gain by laying out 12 dollars at the same rate ? Cents. Cents. Cents, 1200 -cts. $ cts. 12123 4741200(391=3,91 Ane. 36369 110430 13230 1107 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. 11cts. 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. 13cts. 81 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 leis 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! bushels. 30. Bought a piece of cloth for $48 27 cts. at 1 dollar 19 cents per yard; how many yards did it contain ? Ans. 40yds. Oqrs .. 31. Bought 3 hhds. of sugar, each weighing 8 cwt. 1 gr. 12 lb. at 7 dollars, 26 cents per cwt. what come they to ? Ans. $182 Ict. 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 85c/s. 21+23+24+27=95yds. 33. Bought 3 hhds. of brandy, containing 61, 62, 62) gallons at 1 dollar, 38 cts. per gallon, I demand how much they amount to ? Ans. $255 99cts. 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 Ans. $562, 15cts. 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. sos. end ? .75 36. 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 i of her ; what was my part of the money ? Ans. £201 78. 6d. 38. If of a ship cost 781 dollars 25 cents, what is the whole worth? $ 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. 148. 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 dollars 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. 113ft. 42. If a gentlemanhave 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. $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. £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 must I demand per Ell-English? Ans. 10s. 3 d. 45. How many pieces of Holland, each 20 Ells-Flemish, may I have for 231. Ss. at 6s. 6d. per Ell-English ? Ans. Opieces. 46. A merchant bought a bale of cloth containing 240 yards, at the rate of 71 dollars for 5 yards, and sold it again at the rate of 11 dollars for 7 yards ; did he gain or lose by the bargain, and how much? Ans. He gained $25, 71cts. 4m. + yard? 47. Bought a pipe of wine for 84 dollars, and found it had looked out 12 wallons; I sold the remainder at 12} cents a pint; what did I gain or lose ? Ans. I gained $30. 18. A genileman bought 18 pipes of wine at 128 6d. (New-Jersey currency) per gallon; how many dollars will ay the purchase ? Ans. $3780. 49. Bought a quantity of plate, weighing 15 lb. 11 oz. 13 pwt. 17 gr. liow many dollars will pay for it, at the rate of 12s. 7d. New-York currency; per ounce ? Ans. $301, 50cds. 26 m. 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 yards of drugget he had, and what it cost him per 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. 1 top: 52. Whereas an eagle and a cent just three score yards did buy, How many yards of that same cloth for 15 dimes had I ? Ans. Syds, 3qrs. 3nat 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. $2, 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 he travel to overtake A ? Ans. 300 milcc |