31. If a man spend 46 cents a day, what will it amount to in a year ? Ans. $167,90. 32. Lent a friend 292 dollars for six months ; sometime afterward he let me 403 dollars ; how long must I keep it to balance the favour ? Ans. 4m. 1w, 20.+ 33. If 100 dollars gain 6 dollars interest in one year, how much will 480 dollars gain in the same time? Ans. 828,80. 34. If 480 dollars, gain 28 dollars, 80 cents in one year, how much will it gain in 87 days! Ans. $6,86cts. 4m. + 35. How much land, at 2 dollars, 50 cents per acre, must be given in exchange for 360 acres, at 3 dollars, 75 cents per acre ? Ans. 540 acres. 36. Bought a silver cup weighing 9 ounces 4 pennyweights 16 grains, for £3 2s. 3d. 3qrs.}; what was it per ounce ? Ans. 6s. 9d. 37. There is cistern which has four cocks; the first will empty it in 10 minutes, the second in 20 minutes, the third in 40 minutes, the fourth in 30 minutes; in what time will all four running together empty it ? Ans. 5min. 20sec. 38. A hired two men, B and C, to cut wood for 50cts. per cord; B could cut a cord in 4 hours, C in 6 hours; how long would it take both to cut 1 cord ? Ans. 2 hours, 24 minutes. 39. If, when wheat is 6s. 3d. per bushel, the penny loaf weigh 9 ounces, what ought it to weigh when wheat is 8s. 24d. per bushel ? Ans. 6oz. 13drs. + 40. When a man's yearly income is 919 dollars, how much is it per day? Ans. $2,60cts. 41. What is the commission on 1525 dollars at 4_dolls. per cent. ? Ans. 868,62cts. 5m. 42. What will 374 feet of boards come to at licents Ans. $5,61cts. 43. What will 39 thousand 6 hundred and 30 casts of staves come to at 15 dollars 50 cents per thousand ? Ans. $614,73cts. per foot ? Note.—2 staves make 1 cast; 50 casts 1 hundred ; 10 hundred 1 thousand ; in Maine, by a late law of this ; State. 44. If the inventory of a town be 358400 dollars, upon which there is assessed a tax of 850 dollars, what will it be on a dollar; and what will B's tax he, whose estate in that town is valued at 1792 dollars ? s B's tax will be 84,25cts. 45. What will the charter of a ship of 306 tons amount to, from May 28 to October 10th following, at 2 dollars per ton, per month of 30 days? Ans. 2774 dollars, 40 cents. Ans. { a , and Note.-The days of receiving and discharging are both included. 46. If 41 hundred weight may be carried 36 miles for 35s. how many pounds can I have carried 20 miles for the same money, 251. a quarter. Ans. 81015: 47. Sold a ship for £537, and I owned z of her; what was my part of the money Ans. £201 7s. 6d. 48. What quantity of water must I add to a pipe of mountain wine valued at £33, to reduce the first cost to 4s. Cd. per gallon? Ans. 203 gallons. 49. A and B depart from the same place, and travel the same road; but A goes 6 days before B, at the rate of 21 miles a day; B follows at the rate of 28 miles a day ; in what time and distance will he overtake A ? ( . Ans. { 504 miles. 50. A factor bought a certain quantity of broadclotli and drugget, which, together, cost £81 ; 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 yard ! Ans. 90yds. at 8s. per yd. 51. 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 forty minutes; in what time will it be filled ? Ans. 40 hours. - 52. How many yards of cloth 3qrs. wide, will be equal in measure to 30 yards, 5qrs. wide. Ans. 50yds. 53. Bought a pipe of wine for 84 dollars, and found it ing 81 leaked out 17 gallons; I sold the remainder at 124cts. a pint; did I gain or lose, and how much? Ans. I gained 30 dols. 54. How many yards of paper, 3 quarters wide, will paper a room, 30 feet long, 24 wide, and 12 high, deductsquare feet for fire-place, door, and windows ? Ans. 180 yards. 55. A garrison consisting of 1500 men, being besieged, have provisions for three months only ; but it being necessary they should hold out five months, how many men must depart, that the same provisions may serve that time ? Ans. 600 men. 56. A regiment of soldiers consisting of 1000 men, are to have new coats, and each coat is to contain 2yds. and 1qr. of cloth that is 5 quarters wide ; how much shalloon, that is 3 quarters wide, will line them ? Ans. 3750yds. 57. A merchant shipped for the West-Indies 39000 feet of boards, at $8,20cts. per M.; 300 quintals of fish, at $2,60cts. per quint. ; 15000 shingles, at $2,20cts. per M. ; 34000 hoops, at 81,60cts per M.; and $1000 in cash; and in return, he had 3000 tb. of indigo at 56 cents per tb. 2580 gallons of molasses, at 20cts. per gal.; 1000 pounds of coffee, at 18cts. per It ; and 18cwt. of sugar, at $4,50cts. per cwt.; and his charges on the voyage were $153,80cts. Did he gain, or lose, by this voyage ? Ans. He gained $116. PRACTICE. a PRACTICE is a contraction of the Rule of Three, when the first term happens to be a unit, or 1 ; and is a concise method of ascertaining the value of goods, &c. where money is reckoned in pounds, shillings, and pence; but, since reckoning in Federal Money, in all kinds of business, has become universal in our country, it has here grown into almost total disuse. I shall, therefore, present few examples in this Rule to the attention of the student; and these chiefly in Federal Money. A table of aliquot or even parts of weight he will find annexed to Case 2, in Tare and Tret, page 109. Case I. When the price is an even part of a pound. RULE.—Find the value of the given quantity, at one pound per yard, &c. and divide it by that even part, and the quotient will be the answer in pounds. EXAMPLES. 1. What will 1291 yards cost, at 2s. 6d. per yard ? The quantity itself is the price at £1 per yd. £. s. 4s.= Ans. £16 3s. 9d. value at 2s. 6d. per yd. 2. What will 461 bushels of oats cost, at 1s. 8d. per. bushel ? 1s. 8d. =th of a £. Ans. £38 8s. 4d. 3. What will 2114 bus. of corn cost, at 4s ? Ans. £42 5s. 4. What will 543 bus. of wheat cost, at 6s. 8d. ? 6s. 8d.=1 Ans. £181. 5. What will 127 gallons of wine cost, at 3s. 4d. ? 3s. 4d. Ans. £21 3s. 4d. 6. What will 6872 bushels of salt cost, at 5s. ? Ans. £171 17s. 6d. 5s.= CASE II. When the price is Federal Money, but the quantity of the goods is in several denominations. Rule.—Multiply the price by the integers in the given quantity, and take parts for the rest from the price of an. integer; which added together, will be the answer. EXAMPLES. 1. What cost 9cwt. 1qr. 8lb. of sugar at $8,65cts. per 8 1qr.18, 65 9 cwt. cts. 177, 85 5406+ $50, 6303+ Ans. = $80,63cts. per cwt. ? a qr. ? 2. What cost 7cwt. 3qr. 16tt. of raisins, at $9,58cts. Ans. $75,61cts. 3m. + cwt. qr. It 3. 12 0 7 of Russian iron, at $6,34cts. per. cwt., at 2515. a qr.? Ans. $76,52cts. 3m. + cwt.qr.lb. 4. 0 0 24 of hemp, at $11,91cts. per cwt. ? Ans. $2,55cts. 2m. + 5. 1 0 16 of pig lead, at $6,51cts. per cwt. at 2518. a qr. ? Ans. $7,55cts. 13m. 6. 0 2 21 of sugar, at $10,21cts., per cwt., at 25ft. Ans. $7,27's cts. 7. 5 cords, 3ft. Sin. of bark, at $4,50cts. per cord ? Ans. $24,564cts. 8. 3tons, 5cwt. 2qr. of hay, at $25,10cts per ton ? Ans. $82,204cts. 9. 1 ton, 9cwt. 3qr. 1715. of bay, at $4,44cts. 4m. per ton, at 25ft. a qr. ? Ans. $6,64cts. 8m. + 10. 1711. 5oz. 14dwt. of electary, at 83cts. per 15. ? Ans. $14,50cts. + 11. 32ac. 1 rood, 14 perches of land, at $1,16cts. per acre ? Ans. $37,51cts. + 12. 14ac. 3 roods, 5 perches of land, at $10,50cts. per acre ? Ans. 8155,20cts. + 13. 6yds. 3qr. 2na. of cloth, at $7,82cts. 8m. ? Ans. $53,81 cts. 7m. 14. 8gal. 3qts. 1 pt. 2gills of wine at $1,96cts. ? Ans. $17,51cts. The Rule may be applied to other weights and measures also. But perhaps all such questions may be better wrought by multiplication of decimals. Také, for example, the 9th question in this case. What will lton 9cwt. 3qr. 1710 of hay come to, at $4,44cts. 4m. per ton, at 251t. a qr. ? Ton. $ c. m. Decimat expression 1,496 x 4,444=$6,6482246,648+ answer. |