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NOTE 1. -The girt is usually taken about one third the distance from the larger to the smaller end.
Note 2. — A ton of timber, estimated by this method, contains 5019% cubic feet.
1. How many cubic feet of timber in a stick, whose length is 50 feet and whose girt is 60 inches ? Ans. 784 cubic feet.
2. What are the contents of a stick whose length is 30 feet and girt 30 inches ?
Ans. 11.7+ solid feet.
9 XLVII. MISCELLANEOUS QUESTIONS.
1. What is the difference between 7 pence and 10 cents ?
Ans. id. 2. What number is that, to which if ß be added, the sum will be 71 ?
Ans. 73 3. What number is that, from which if 34 be taken, the remainder will be 41 ?
Ans. 745. 4. What number is that, to which if 34 be added, and the sum divided by 5%, the quotient will be 5 ?
Ans. 236 5. From 11 of a mile take Z of a furlong.
Ans. 4fur. 12rd. 8ft. Sin. 6. From 7 acres take i of a rood.
Ans. 6A. 3R. 7p. 74ft. 36in. 7. John Swift can travel 7 miles in of an hour, but Thomas Slow can travel only 5 miles in 11 of an hour. Both started from Danvers at the same time for Boston, the distance being 12 miles. How much sooner will Swift arrive in Boston than Slow ?
Ans. 123 seconds. 8. If g of a ton cost $ 49, what will lcwt. cost ?
Ans. $ 3.92. 9. How many bricks, 8 inches long, 4 inches wide, and 2 inches thick, will it take to build a wall 40 feet long, 20 feet high, and 2 feet thick ?
Ans. 43200 bricks. 10. How many bricks will it take to build the walls of a house, which is 80 feet long, 40 feet wide, and 25 feet high the wall to be 12 inches thick ;-the brick being of the same dimensions as in the last question ? Ans. 159300 bricks.
11. How many tiles, 8 inches square, will cover a floor 18 feet long, and 12 feet wide ?
Ans. 486 tiles, 12. If it cost $ 18.25 to carry 1lcwt. 3qr. 191b. 46 miles,
how much must be paid for carrying 83cwt. 2qr. 11]b. 96 miles ?
Ans. $ 267.12 4,56 13. A merchant sold a piece of cloth for $ 24, and thereby lost 25 per cent.; what would he have gained, had he sold it for $ 34 ?
Ans. 64 per cent. 14. Bought a hogshead of molasses, containing 120 gallons, for $ 30; but 20 gallons having leaked out, for what must I sell the remainder per gallon to gain $ 10? Ans. $ 0.40.
15. How many acres are there in a piece of land 117 rods long, and 112; rods wide ?
Ans. 82A. 1R. 18p. 2yd. 7ft. 1333 in. 16. Bought a quantity of goods for $ 128.25, and, having kept them on hand 6 months, for what must I sell them to gain 6 per cent. ?
Ans. $ 140.02. 17. If 27 bushels of potatoes cost $ 8.75, what must be paid for 36 bushels ?
Ans. $ 11.66-+: 18. How many bushels of oats, at 50 dents per bushel, must I give Moses Webster for 93 bushels of corn, at $ 1.25 per bushel ?
Ans. 2321 bushels. 19. How many bushels of salt, at $ 1.30 per bushel, must be given in exchange for 75 bushels of wheat, at $ 1.25 per bushel ?
Ans. 72 bushels. 20. If a sportsman spends of his time in smoking, & in "gunning," 2 hours per day in loafing, and 6 hours in eating, drinking, and sleeping, how much remains for useful purposes?
Ans. 2 hours. 21. If a lady spend of her time in sleep, } in making cal
at her toilet, 7 in reading novels, and 2 hours each day in receiving visits, how large a portion of her time will remain for improving her mind, and for domestic employments ?
Ans. 331 hours per day. 22. What will a piece of land, 78 rods long, and 5% rods wide, come to at $ 25.75 per acre ? Ans. $ 6.65131
23. If 5 ells English cost $ 15.16, what will 714 yards cost ?
Ans. $ 155.39. 24. If a staff 4 feet long cast a shadow 53 feet, what is the height of a steeple whose shadow is 150 feet?
Ans. 1074 feet. 25. Borrowed of James Day $ 150 for six months; afterwards I lent him $ 100; how long shall he keep it to compensate him for the suin he lent me?
Ans. 9 months. 26. A certain town is taxed $ 6045.50; the valuation of
per cwt. ?
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.
Ans. 1074£. Os. 622 d. 28. What is the interest of $ 17.86, from Feb. 9, 1840, to Oct. 29, 1842, at 77 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. ?
Ans. $ 23.92t. 30. Required the superficial surface of the largest cube that can be inscribed in a sphere 30 inches in diameter ?
Ans. 1800 inches. 31. $ 1000.
Salem, N. H., Oct. 29, 1836. For value received, I promise to pay Luther Emerson, Jr., or order, on demand, one thousand dollars with interest.
Emerson Luther. Attest, Adams Ayer. On this note are the following endorsements : Jan. 1, 1837, was received
$ 125.00, June 5, 1837, do.
$ 316.00, Sept. 25, 1837, do.
* 417.00, April 1, 1838, do.
$ 100.00, July 7, 1838, do.
$ 50.00. What is due, at compound interest, Oct. 29, 1842 ?
Ans. $ 53.79. 32. D. Sanborn's garden is 234 rods long, and 134 rods wide, and is surrounded by a good fence 7 feet high. Now if he shall make a walk around his garden within the fence 7 feet wide, how much will remain for cultivation ?
Ans. 1A. 3R. 7p. 851%&+ft. 33. 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. 545 feet. 34. How many yards of paper that is 30 inches wide, will it require to cover the walls of a room that is 151 feet long, 114 feet wide, and 74 feet high? Ans. 5517 yards.
35. Charles Carleton has agreed to plaster the above room at 10 cents per square yard; what will be his bill ?
Ans. $ 6.544
36. How many cubic inches are contained in a cube that may be inscribed in a sphere 40 inches in diameter ?
Ans. 12316.8+ inches. 37. 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. 94 inches wide, 4 inches deep. 38. 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. $ 756.663. 39. A man bequeathed of his estate to his son, and į 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. 40. 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. 41. Front of a yard, there was sold ß of it; how much remained ?
Ans. yard. 42. Sold a lot of shingles for $ 50, and by so doing I gained 124 per cent. ; what was their value ?
Ans. $ 44.444. 43. If tallow be sold at 74d. per lb., what is the value of 17cwt. 3qr. 181b. ?
Ans. $ 208.954. 44. If 3 of a yard cost $5.00, what quantity will $ 17.50 purchase ?
Ans. 21 yard. 45. If a man travel 17rd. 10ft. in 17 of an hour, how far will he travel in 84 hours ?
Ans. 1 mile 928 feet. 46. When $11.75 are paid for 24 acres, what quantity will $ 100.00 purchase ?
Ans. 19A. IR. 323 p. 47. John Savory and Thomas Hardy traded in company; Savory put in for capital $ 1000; they gained $ 128.00; Hardy received for his share of the gains $ 70; what was his capital?
Ans. $ 1206.89.19. 48. 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. $ 820.79431 49. Lent $ 88 for 18 months, and received for interest and principal $ 97.57; what was the per cent. ? Ans. 74 per cent. 50. When f of a gallon cost $ 87, what cost 77 gallons ?
Ans. $ 1051.25.
51. When $ 71 are paid for 184 yards of broadcloth, what cost 5 yards ?
Ans. $ 19.2649 52. How many yards of cloth, at $ 4.00 per yard, must be given for 18 tons 17cwt. 3qr. of sugar at $9.50 per cwt. ?
Ans. 8970 yards. 53. How much grain, at $ 1.25 per bushel, must be given for 98 bushels of salt, at $ 0.45 per
Ans. 35,25 bushels. 54. How many acres of land, at $37.50 per acre, must be given for 86 tons 18cwt. 3qr. 20lb. of coal, at $8.50 per ton?
Ans. 19A. 2R. 33, p. 55. A person, being asked the time of day, replied, that of the time passed from noon was equal to į of the time to midnight. Required the time. Ans. 40 minutes past 4.
56. How many cubic feet of water in a pond, that contains 200 acres, and is 20 feet deep? Ans. 174,240,000 feet.
57. 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. lqt. Opt. 214gi. 58. 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. 59. 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. Sh. 53m. P. M.
60. 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
Ans. 10° 18' west. 61. Sound, uninterrupted, will pass 1142 feet in 1 second; how long will it be in passing from Boston to London, the distance being about 3000 miles ? Ans. 3h. 51m. 10+ sec.
62. 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. 63. 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. 64. J. Pearson has tea, which he barters with M. Swift, at