Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

25. Borrowed of James Day $150 for six months; afterwards I lent him $ 100; how long shall he keep it to indemnify him for the sum he lent me ? Ans. 9 months. 26. A certain town is taxed $6045.50; the valuation of the town is $293275.00; there are 150 polls in the town, which are taxed $1.20 each. What is the tax on a dollar, and what does A. pay, who has 4 polls, and whose property is valued at $3675 ?

Ans. $0.02. A.'s tax $78.30. 27. What is the value of 97 pigs of lead, each weighing 2cwt. 3qr. 11lb., at £3. 17s. 9d. per cwt.? Ans. £ 1074. Os. 6,27d. 28. What is the interest of $17.86, from Feb. 9, 1840, to Oct. 29, 1842, at 74 per cent. ? Ans. $35.24-. 29. What is the interest of $97.87, from Jan. 7, 1840, to Sept. 25, 1842, at 9 per cent. ? 30. T. Jones' note for $1728 is dated March 1, 1836 ; Sept. 25, 1836, was received

Ans. $23.92+.

$50.00,

$60.00,

$8.00,

Jan. 1, 1837,

do.

[blocks in formation]

$ 10.00, $5.00, $9.00, $300.00, 100.00,

$ 14.00, $500.00,

$ 15.00,

$200.00,

Ans. $1060.29.

Salem, N. H., Oct. 29, 1836.

What is due Nov. 29, 1842 ?

31. $1000.

For value received, I promise to pay Luther Emerson, Jr., or order, on demand, one thousand dollars with interest.

Attest, Adams Ayer.

On this note are the following indorsements.

Jan. 1, 1837, was received

Emerson Luther.

$ 125.00,

[blocks in formation]

What is due, at compound interest, Oct. 29, 1842

Ans. $53.79.

32. J. Ladd's garden is 100 feet long and 80 feet wide; he wishes to enclose it with a ditch 4 feet wide; how deep must it be dug, that the soil taken from it may raise the surface one foot. Ans. 510 feet. 33. How many yards of paper, that is 30 inches wide, will it require to cover the walls of a room, that is 15 feet long, 114 feet wide, and 72 feet high?

Ans. 5517 yards. 34. Charles Carleton has agreed to plaster the above room at 10 cents per square yard; what will be his bill? Ans. $6.54. 35. How many cubic inches are contained in a cube, that may be inscribed in a sphere 40 inches in diameter? Ans. 12316.8+ inches. 36. The dimensions of a bushel measure are 18 inches wide, and 8 inches deep; what should be the dimensions of a similar measure, that would contain 4 quarts? Ans. 9 inches wide, 4 inches deep.

37. A gentleman willed of his estate to his wife, and of the remainder to his oldest son, and of the residue, which was $151.33, to his oldest daughter; how much of his estate is left to be divided among his other heirs? Ans. $756.662.

38. A man bequeathed of his estate to his son, and of the remainder to his daughter, and the residue to his wife; the difference between his son and daughter's portion was $100; what did he give his wife?

Ans. $600.00. 39. A young man lost of his capital in speculation; he afterwards gained $500; his capital then was $1250; what was the sum lost? Ans. $250.00. 40. From of a yard, there was sold of it; how much remained? Ans. yard. 41. Sold a lot of shingles for $50, and by so doing I gained 12 per cent. ? what was their value? Ans. $44.44. 42. If tallow be sold at 74d. per lb., what is the value of 17cwt. 3qr. 18lbs. ? 43. If of a yard cost $5.00, what quantity will $17.50 purchase? Ans. yard. 44. If a man travel 17rd. 10ft. in of an hour, how far will he travel in 84 hours?

Ans. $208.95.

Ans. 1 mile, 9283 feet.

45. When $11.75 are paid for 22 acres, what quantity will $100.00 purchase? Ans. 19A. IR. 3215p. 46. John Savory and Thomas Hardy traded in company; Savory put in for capital $ 1000; they gained $129.00; Hardy received for his share of the gains $70; what was his capital? Ans. $1206.8919. 47. E. Fuller lent a certain sum of money to C. Lamson, and, at the end of 3 years, 7 months, and 20 days, he received interest and principal $1000; what was the sum lent? Ans. $820.79451. 48. Lent $88 for 18 months, and received for interest and principal $97.57; what was the per cent.?

49. When of a gallon cost $87,

50. When $71 are paid for 18 what cost 5 yards?

Ans. 7 per cent. what cost 74 gallons?

Ans. $1051.25. yards of broadcloth,

Ans. 19.264. $4.00 per yard, must sugar, at $9.50 per Ans. 897 yards.

51. How many yards of cloth, at be given for 18tons. 17cwt. 3qr. of cwt.? 52. How much grain, at $1.25 per bushel, must be given for 98 bushels of salt, at $0.45 per bushel ? Ans. 35 bushels. 53. How many acres of land, at $37.50 per acre must be given for Sotons. 18cwt. 3qr. 20lbs. of coal, at $8.50 Ans. 19A. 2R. 33p. per ton? 54. A person, being asked the time of day, replied, that of the time passed from noon was equal to

time to midnight. Required the time.

of the

Ans. 40 minutes past 4. 55. How many cubic feet of water in a pond, that contains 200 acres, and is 20 feet deep?

Ans. 174,240,000 feet. 56. On a certain night, in the year 1842, rain fell to the depth of 3 inches in the town of Haverhill; the town contains about 20,000 square acres. Required the number of hogsheads of water fallen, supposing each hogshead to contain 100 gallons, and each gallon 282 cubic inches. Ans. 13346042hhd. 55gal. 1qt. Opt. 219gi. 57. If the sun pass over one degree in 4 minutes, and the longitude of Boston is 71° 4' west, what will be the

time at Boston, when it is 11h. 16m. A. M. at London ? Ans. 6h. 31m. 44sec. A. M. 58. When it is 2h. 36m. A. M. at the Cape of Good Hope, in longitude 18° 24′ east, what is the time at Cape Horn, in longitude 67° 21' west ?

Ans. 8h. 53m. P. M. 59. Yesterday my longitude, at noon, was 16° 18' west; to-day I perceive by my watch, which has kept correct. time, that the sun is on the meridian at 11h. 36m.; what is my longitude? Ans. 10° 18' west. 60. Sound, uninterrupted, will pass 1142 feet in one second, how long will it be in passing from Boston to London, the distance being about 3000 miles ?

Ans. 3h. 51m. 10+sec. 61. The time which elapsed between seeing the flash of a gun, and hearing its report, was 10 seconds; what was the distance ? Ans. 2 miles. 860 feet. 62. If a globe of silver, 2 inches in diameter, be worth $125, what would be the value of a globe 3 inches in diameter ? Ans. $421.871. 63. J. Pearson has tea, which he barters with M. Swift, at 10 cents per lb. more than it costs him, against sugar, which costs Swift 15 cents per lb., but which he puts at 20 cents per lb., what was the first cost of the tea?

Ans. $0.30. 64. Q. and Y. barter; Q. makes of 10 cents 12 cents; Y. makes of 15 cents 19 cents; who makes the most per cent., and by how much?

Ans. Y. makes 13 per cent. more than Q. 65. A certain individual was born in 1786, September 25, at 27 minutes past 3 o'clock, A. M., how many minutes old will he be July 4, 1844, at 30 minutes past 5 o'clock, P. M. ? Ans. 30,386,283 minutes. 66. The longitude of a certain star is 3s. 14°. 26'. 14'., and the longitude of the moon at the same time is Es. 19°. 43′ 28′′., how far will the moon have to move in her orbit to be in conjunction with the star?

Ans. 6s. 24°. 42. 46". 67. From a small field containing 3A. 1R. 23p. 200ft., there were sold 1A. 2R. 37p. 30yd. 8ft.; what quantity remained? Ans. 1A. 2R. 25p. 21yd. 5ft. 36in. 68. What part of of an acre is of an acre? Ans.

69. My chaise having been injured by a very bad boy, I am obliged to sell it for $68.75, which is 40 per cent. less than its original value, what was the cost?

Ans. $114.581. 70. Charles Webster's horse is valued at $120, but he will not sell him for less than $134.40; what per cent. does he intend to make? Ans. 12 per cent. 71. Three merchants, L. Emerson, E. Bailey, and S. Curtiss engaged in a cotton speculation. Emerson advanced $3600, Bailey $4200 and Curtiss $2200. They invested their whole capital in cotton, for which they received $ 15000 in bills on a bank in New Orleans. These bills were sold to a Boston broker at 15 per cent. below par, what is each man's net gain?

Ans. Emerson $990.00. Bailey $1155.00. Curtiss $ 605.00.

72. Bought a box made of a plank 34 inches thick. Its length is 4ft. 9in., its breadth 3ft. 7in., and its height 2ft. llin. How many square feet did it require to make the box, and how many cubic feet does it contain?

Ans. 70 square feet, 294 cubic feet. 73. How many bricks will it require to construct the walls of a house, 64 feet long and 32 feet wide, and 28 feet high; the walls are to be 1ft. 4in. thick, and there are also three doors 7ft. 4in. high, and 3ft. 8in. wide; also 14 windows 3 feet wide and 6 feet high, and 16 windows 2ft. 8in. wide and 5ft. 8in. high. Each brick is to be 8 inches long, 4 inches wide, and 2 inches thick. Ans. 167,480 bricks. 74. John Brown gave to his three sons, Benjamin, Samuel, and William, $1000 to be divided in the proportion of ,, and respectively; but William, having received. a fortune by his wife, resigns his share to his brothers. It is required to divide the whole sum between Benjamin and Samuel.

Ans. Benjamin $571.429. Samuel $428.574. 75. Peter Webster rented a house for one year to Thomas Bailey for $100; at the end of four months, Bailey rented one half of the house to John Bricket, and at the end of eight months, it was agreed by Bricket and Bailey to rent one third of the house to John Dana. What share of the rent must each pay?

[ocr errors]

Ans. Bailey $61, Bricket $274, and Dana $11.

« ΠροηγούμενηΣυνέχεια »