37. If of a barrel of sugar is sold and afterward 40 lb. are sold, how many pounds of sugar were in the barrel originally, supposing it still contains 90 lb. ? 38. By selling a piano at of its cost, a dealer loses $98. Find the cost of the piano. 39. If 45 sq. rd. of land cost $18, find the cost of 1 A. Find also the cost of 33 A. 40. If of a clerk's salary per year is $675, find his salary per month. If his expenses average $48.89 per month, how much will he save per year? How long will it take him to save $652.75 ? 41. If 31 A. of land are worth $119, find the value of 21 A. How much is a rectangular strip of this land of a mile long and 33 feet wide worth? 42. How much is a plot of ground 80 ft. by 60 ft. worth, if an acre is worth $55? If an acre is worth $121? 43. Find the weight of a piece of coal in the shape of a rectangular solid, 11⁄2 ft. by 14 ft. by 10 in. A cubic foot of coal weighs 814 lb. 44. A man's property is assessed at $4550. If he pays 40 on every $100 for school tax, how many dollars school tax does he pay? 45. How much taxes will be paid on real estate worth $9580, if the tax is at the rate of $1.27 on $100 ? 46. A man invests $4800 and gains $540. How much does he gain on every dollar invested? How much does he gain on every $100? 47. If an investment of $9600 produces a gain of $1056, find the gain on $1; also on $100. 48. When $8400 produces a profit of $1092, how much does $1 produce? $100? N 49. The school tax in a city is 2 mills on the dollar. The assessed valuation of the property is $17,294,000. Find the total tax levied for school purposes. If .95 of this total is collectible, find the amount collected. 50. Find the tax on $33,254,000 at 4 mills on the dollar. 51. A man insures his dwelling for $5450. If he pays $11.50 on every $1000, how much does he pay all together? 52. Find the cost of insuring a house valued at $7840, if the rate of insurance is $1 on every $100? 53. If $47.50 is paid to insure a boat valued at $9500, how much is paid on $1? on $100? 54. The distance from New York City to Plymouth, England, is 2962 knots. The steamship Deutschland sailed from Plymouth to New York in July, 1900, in 5 da. 15 hr. 45 min. Find, in knots, its rate per hour. Find also its rate in miles per hour. 55. In September, 1910, the steamship Mauretania made the voyage from Queenstown to New York in 4 da. 10 hr. and 40 min., the distance being 2780 knots. Find in knots its rate per hour. Express the rate also in miles per hour. 56. The steamer Kronprinz Wilhelm made, in September, 1902, a voyage from Cherbourg to New York in 5 da. 11 hr. 57 min. Find its rate per hour, the distance from Cherbourg to New York being 3184 knots. 57. In May, 1900, a passenger train ran from Burlington to Chicago, 205.8 mi., in 3 hr. 8 min. 30 sec. Find its rate per hour. * Knot, a nautical mile, 6080.27 ft. 58. The fastest time on record by a passenger train for a distance over 450 miles was made in October, 1895, on the Lake Shore and Michigan Southern Railroad, from Chicago to Buffalo, a distance of 510 mi., in 8 hr. 1 min. Find its rate per hour. 59. The run from London to Edinburgh, 393 mi., has been made in 7 hr. 45 min. Find the speed per hour. 60. The market quotations, Feb. 19, 1903, were: wheat, 78 per bushel; corn, 45g per bushel; oats, 34¢ per bushel. Find the price of 100 lb. of each of these commodities. 61. Market quotations of live stock sales are in dollars per 100 lb. Find the cost of: (a) 44 cattle, average weight 1121 lb., @ $4.80. CHAPTER III GENERAL REVIEW BY TOPICS ADDITION ADDITION is the process of combining two or more numbers to form a single equivalent number. The result is the sum. Only numbers of the same kind can be added. Thus, 5 yd. and 7 yd. may be added; but 5 yd. and $7 cannot be added. 5 ft. and 7 in. may be added, provided the 5 ft. is changed to inches, or the 7 in. changed to feet. The sum in one case is 67 inches, in the other case, 5 feet. Example 1. Add 279, 514, 928, 763. = The process is 3, 11, 15, 24; 24 units 2 tens 279 and four units. 514 928 763 2484 Write the 4 units and carry the 2 tens. 2, 8, 10, 11, 18; 18 tens 1 hundred and 8 tens. Write 8 and carry 1. 1, 8, 17, 22, 24; write 24. Example 2. Add $2.79, $5.14, $9.28, $7.63. $2.79 5.14 9.28 The process is the same as in Example 1. 7.63 $24.84 180 Example 3. Add 6 ft. 8 in., 3 ft. 6 in., 5 ft. 4 in. The process is 4, 10, 18; 18 in. = 1 ft. 6 in. Write 6 in., carry 1 ft. 1, 6, 9, 15. Write 15 ft. Example 4. Add 62, 31, 51. Change,, and to equivalent fractions having 6/ 31 12 for denominator. Write, carry 1. 1, 6, 9, 15. Write 15. Observe the same principle pervades the four examples. Units of the same name are placed in the same column, and the columns added separately. An example in addition may be checked by adding the columns in reverse order. This is not an absolute test. |