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38. A road to the top of a hill has a rise of of a foot in 100 feet. How many feet is the total elevation of the hill, if the length of the road is 2 miles?

39. A man bequeathes to his wife of his estate; to his daughter, of it; to his son, of the daughter's share; he divides the remainder equally between a hospital and a public library. What part is received by the hospital?

40. If the above estate is worth $150,784, what is the amount received by the hospital?

41. A can build a wall in 7 days, B in 6 days, and C in 5 days. A and B worked together for 2 days, when they were joined by C. How many days. will they need to complete the remainder of the work?

42. Find the cost of 75,849 bricks, at $9.75 per M. 43. A lumberman exchanged 50,495 feet of round timber, at $4 per M, for pork, at $20 per barrel. How many barrels of pork did he receive?

44. For of a bushel of apples $ are paid. What will 45 bushels be worth?

45. Henry Jones bought at a saw-mill 3485 ft. boards, at $7.50 per M; 9872 feet laths, at $0.25 per C; 6492 feet flooring, at $8 per M; 8975 feet cherry boards, at $15.05 per M. He paid $152.75 in cash, and the balance in flour, at $9.25 per barrel. Required the number of barrels of flour.

46. A merchant mixed 7 pounds of black tea at 68 cents with 9 pounds of green tea at 75 cents. At what price per pound must he sell the mixture to gain $3.69?

47. Nine men working 10 hours per day will harvest a piece of grain in 8 days. How many days will be needed for the same work by 6 men working 9 hours per day?

48. At $8.75 per M, how many bricks can be bought for $393.75?

49. When 1000 bricks cost $7.20, what is the cost of a single brick?

50. If $437.645 be paid for 6500 feet of rosewood, what is the cost per M?

51. A sea captain who owned of a ship and cargo, gave to his wife of his share, to his daughter of what his wife received, to his son of the remainder, and equally divided what was still left between two nieces. What part of the whole had each niece?

52. Peter Knowlton sold a farm for $9786, which was g of the sum paid for it. Required the original cost of the farm.

53. A merchant bought a bag of coffee, containing 60 pounds, for $15. At what advance must he sell it per pound to buy 3 yards of velvet at $3 per yard with the gain on the coffee?

54. After selling of his sheep to a drover, and of the remainder to his neighbor, a farmer has 150 left. How many were there in the flock at first?

55. A stock broker bought 9 shares in the Northern Pacific Railroad, at $99, and 12 shares in the Illinois Central Railroad, at $102. He sold them all at $1034. How much did he gain?

56. A bankrupt's available property can be sold for $19,780, which will pay 62 cents on every dollar he owes. How much does he owe?

57. A loaf of bread weighing 2 pounds, when flour is worth $9.80 per barrel, is sold for 10 cents. What should it bring when flour is worth $7.84?

58. Divide 0.75 of 17g by # of 0.035.

59. An army of 7844 men has 490,250 pounds of beef. If for every man 1 pounds daily be allowed, in how many days will the beef be consumed?

60. A seedsman bought 37 bushels of lawn grass-seed for $226. He sold 25 bushels at a profit of $13 per bushel. For what price per bushel must he sell the remainder to make his whole gain $73?

61. The cost of 50 gallons of molasses is $25.

By leakage

cents.

of it is lost; 20 gallons are sold at 62 At what rate must the remainder be sold to gain $5 on the whole?

62. For of a yard of broadcloth at $6 per yard, 13 yards of cassimere and 50 cents in money were given in exchange. What was the price per yard of the cassimere?

63. A owns of a ship and cargo worth $25,748, B of the remainder, C of the amount belonging to A and B, and D owns what is still left. Required the amount of D's share?

64. A farmer gives to his eldest son of a farm, and the

remainder to his daughter. The difference between their shares is 780 acres. How many acres does the daughter receive?

65. If 1200 pounds can be carried 36 miles for $14, how many pounds can be carried 24 miles for the same

money?

66. When 21 acres of land cost $500, what will be paid for 460 acres?

67. Four and four-sevenths tons of cannel coal cost $64. Required the cost of 135 tons.

68. Of a certain estate is pasture, land suitable for cultivation, and the remainder, woodland, is 50 acres. How many acres in the estate?

.

69. If 1.4 bushels of walnuts cost $1.50, find the value of 7 bushels.

70. A man on the average breathes 17 times in a minute, and takes in at each breath about of a quart of air. How many quarts of air are needed for a man in 1 hour?

71. If the crop of potatoes from an acre is on the average 255 bushels, but the potato beetle destroys of the crop, how many bushels may be expected from 34 acres?

72. If a miller takes for toll, and a bushel of wheat produces 40 pounds of flour, how many bushels must be carried to the mill to obtain 196 pounds of flour?

73. An expressman carried 100 vases, on the condition. that he was to receive of a dollar for every one he carried without breaking, and pay 14 dollars for every one he broke. He received 16 dollars. How

many did he break?

74. A man who rows 4 miles an hour in still water takes 1 hours to row 4 miles up a river. How many minutes will it take him to row 4 miles down the river?

CHAPTER IX.

COMPOUND QUANTITIES.

142. A quantity expressed with reference to a single unit is called a simple quantity; but a quantity expressed with reference to different units is called a compound quantity.

Thus, 20 pounds is a simple quantity, but 20 pounds 4 ounces is a compound quantity.

143. The process of changing the unit in which a quantity is expressed, without changing the value of the quantity, is called reduction.

144. If the change be from a higher denomination to a lower, it is called reduction descending; if from a lower to a higher, it is called reduction ascending.

Thus, 1 yard 36 inches is an example of reduction descending; and 24 inches = 2 feet is an example of reduction ascending.

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1 mile (mi.).

in.; a hand (used in

NOTE. A line measuring the height of horses) = 4 in.; a palm 9 in.; a cubit: 18 in.; a military pace

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3 in.; a span

23 ft.; a chain

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4 rds.;

a link = chain; a furlong = } mi. ; a knot (used in navigation) = 6086 ft.; a nautical league depths at sea) = 6 ft.; a cable length

3 knots; a fathom (used in measuring

=

120 fathoms.

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