29. If the house on the farm is insured for $5,000 at the rate of 21 per cent per year, what is the premium? 30. Field 4 was a wood lot. cent of the wood off the lot. were left? Mr. Gordon cleared 43.5 per How many acres of woods 31. 12 per cent of the 1,200 trees still standing are oak, 66 per cent chestnuts, 15 per cent pine, and the remainder maples. How many trees were there of each kind? 32. Mr. Gordon sold a pile of oak wood 48 feet long, 4 feet wide, and 3 feet 6 inches high, for $6.75 per cord; a pile of chestnut 66 feet long, 4 feet wide, and 4 feet 6 inches high, for $4.87 per cord; and a pile of pine wood 30 feet long, 4 feet wide, 3 feet 9 inches high, for $5.25 per cord. How much did he receive for the wood? 33. In the southeast corner of the wood lot he fenced off a plot containing one acre, on which he built his house. This plot was 16 rods long. How wide was it? 34. He inclosed his house lot with a board fence 4.5 feet high, using 308 posts which were worth 181 cents each. The boards used were worth $35 per thousand feet. What was the value of the posts and boards used in the fence? 35. He built a silo 12 feet in diameter and 18 feet high. How many cubic feet of fodder would it hold? 36. He covered the bottom and sides with sheet iron. How many square feet were required? 37. What was the area of field No. 1? 38. Field 1 was sowed with oats. The cost of plowing was $3 an acre. The cost of the seed oats was 50 cts. per bushel. Fertilizer, costing $30 per ton, was used at the rate of 400 lb. to the acre. Labor for sowing and harrowing was $2 per acre; for harvesting, $1 per acre; for threshing, $1.25 per acre. The crop, 30 bushels per acre, was sold at 40 cts. per bushel. The straw averaged 1 ton per acre, and was sold at $10 per ton. What was the profit on the oat field? Dec. 12 By 15 tons of straw, at $10 per ton 150 Balance, 39. Field 7 was sowed with rye. The plowing cost $3 per acre. The fertilizer cost $30 per ton, and 500 pounds were used per acre. The seed rye cost 80 cts. per bushel (see table). The labor for sowing, harrowing, and rolling cost $3 per acre. The harvesting cost $1.50 per acre and the threshing $3 per acre. The yield was 28 bushels per acre, which was sold for 80 cts. per bushel, and 14 tons of straw per acre which was sold for $16 per ton. What was the profit on the rye field? 40. Make and balance the account for the rye field. 41. Stull Brothers, dealers in grain, hay, and feed, have a gasoline engine 35 horse power to run their mill. It takes one tenth of a gallon of gasoline for a horse power to run it an hour, at a cost of $.13 per gallon. What will the gasoline cost to run the engine 5 hr. 30 min. 42. If the mill grinds 400 pounds of corn in 5 minutes, how long will it take to grind a car load of 600 bushels ? (Allow 56 lb. to the bushel.) 43. Lubricating oil, bought in quantities of 5 gallons, costs $.45 per gallon. If bought by the barrel of 50 gallons, it costs $.29, 10% off for cash and an allowance of $.75 for the barrel if returned. What is the cost per gallon, by the barrel, if all the above conditions are complied with? 44. What per cent is gained by purchasing by the barrel instead of in 5-gallon quantities? 45. The driving wheel of the engine makes 235 revolutions per minute, and that of the mill 1,750. The number of revolutions of the mill wheel is what per cent of the number of revolutions of the engine wheel? 46. Equal numbers of bushels of corn weighing 56 lb. per bushel and of oats weighing 32 lb. per bushel were ground together. The mixture weighed 5,280 lb. How many pounds of corn did the mixture contain? Of oats? 47. Mr. Baldwin has 275 bushels of potatoes, in bags of 23 bushels each. What are the potatoes worth at $2.25 per bag? 48. A grocer put 315 pounds of sugar in packages of 31 pounds each, which he sold at 23 cents per package. The sugar cost him 5 cents per pound. How much did he make? 49. The distance from New York to New London is How long will it take a steamer sailing at the 110 miles. rate of 18 London? miles an hour to go from New York to New 50. The product of the length and width of a corn crib is equal to 68 square feet; the cubic contents are 426 cubic feet. How high is the crib? 51. The length of a room is 30 feet, the width 25 feet, and the cubic contents 9,095 cubic feet. How high is the ceiling? 52. What is the value of 18 tons of coal, at the rate of 41 tons for $29.50? 53. If 37% of the number of cubic feet of air in a room is equal to 4,218.75 cubic feet, how many cubic feet of air are there in the room? 54. There are 40 pupils in this room. How many cubic feet of air does that give to each pupil? 55. A grocer sold 18 pounds 12 ounces of butter on Monday; 27 pounds Tuesday, 36.375 pounds on Wednesday. How many pounds did he sell? What is the value of the butter at $.26 a pound? 56. What is the sum of 16.5 feet, 25 feet, 423 feet, and 15 feet 6 inches? 57. Mr. Hawkins laid .375 of a mile of sidewalk. How much did it cost him at $13.20 a rod? 58. Mr. Wells bought a barrel of cranberries, containing 3 bushels, at $2 per bushel. He sold them at 12 cents per quart. How much did he make on the berries? 59. What is the diameter of a sphere whose surface is 50.2656 square miles? 60. If a cannon ball weighs 36 pounds, what will one weigh whose diameter is three times as great? 61. A field in the form of a trapezoid contains 25 acres. One of its parallel sides is 90 rods, the other 105 rods. What is its width? 62. If a circus ring is 75 feet in diameter, how many times must a horse go around it to travel a mile? 63. How many 2-inch spheres does it take to equal in volume a 4-inch sphere? an 8-inch sphere? SUMMARY OF CHAPTER VII MENSURATION. Measurement of Plane Figures. Measurement of Solids. Surfaces of Solids. Volumes of Solids. |