USING WHAT YOU HAVE LEARNED 1. If 475 horse power from several engines costs $13,490 a year, what will 60 horse power cost at the same rate? 2. A dealer bought 25 bu. of grass seed at $2.90 a bushel. He paid $1.20 for paper bags, and sold the seed in bags at 10¢ a quart. How much did he gain? 3. Two steamers started for Europe on the same route at the same time. After 4 da. one had averaged 448.7 mi. a day, and the other 502.1 mi. a day. How far apart were they? 4. A box of arithmetics cost a dealer $53.94, including $1.48 freight. He sold them for 50¢ each, thus gaining 7¢ on the price the publisher charged him. How many did he buy? 5. A man bought two adjacent farms containing the same number of acres. For one he paid $95 per acre, and for the other $130 per acre. The two farms cost him $31,950. How many acres did he buy? 6. If it costs $702 to excavate a cellar 27′ × 39′ × 9', how much will it cost to excavate another cellar 30' x 36' x 12' at the same rate? 7. If 100 lb. of bituminous (soft) coal contain 2.32 lb. of ash and 76.05 lb. of carbon, how many pounds of each in 15 T.? 8. From Ex. 7 find the number of pounds of ash and the number of pounds of carbon in 81 T. of coal. 9. If 2000 lb. of anthracite (hard coal) contain 1828 lb. of carbon, how much carbon will 100 lb. contain? What is the per cent of carbon? 10. A gallon contains 231 cu. in. water. Find the number of cubic weigh as much as a gallon of water. Alcohol is 0.84 as heavy as inches of alcohol that will USING WHAT YOU HAVE LEARNED 1. Mr. Wheeler works six full days each week and earns $31.50 per week. Last month he was ill and lost 9 da. How much did he lose in wages ? 2. A grocer charges 14¢ a pound for sugar and 60¢ a dozen for eggs. At a special sale one of his customers bought 6 lb. of sugar for 75¢ and 2 doz. eggs for $1.25. How much did the customer save in buying at the special sale? 21 3. At the rate of three for $1, find the cost of 5 collars. 4. A family requires 31 qt. of milk and 1 pt. of cream daily. If they pay 14¢ a quart for the milk and 20¢ a half pint for the cream, how much do they pay for milk and cream in July? 5. A family of four go to the movies on an average of two nights a week. If the tickets are 20¢ each, how much do they cost in a year? If the house rent of this family is $38 a month, the money spent for movies would pay the rent for how many months? 6. Mr. Howard lives 140 mi. from Chicago, and he decides to make a trip there and back in his automobile. The price of gasoline is 27¢ a gallon and his car will make 10 mi. on a gallon. On the trip he also pays 38¢ for oil. Find the cost of gasoline and oil for the trip to Chicago and back. 7. A farmer who planted 40 acres of corn found that by carefully selecting the seed corn he could have raised 45 bu. instead of 30 bu. per acre. If he had done this and had sold the excess corn raised at $1.10 a bushel, he could have bought with the money some more stock that he wanted. If the stock costs $70 a head, how many head could he have bought, and how much money would he have left over? USING WHAT YOU HAVE LEARNED 1. It is estimated that each family in this country wastes about 71% of the total amount that it spends for food. Allowing an average of $470 per year for the food of each of the 24,000,000 families in the country, find the approximate value of the food wasted per year in the United States. 2. From Ex. 1 find the average amount of money wasted per family on the expenditure for food and make out a list of articles that a family might profitably buy with this money. 3. Allowing 4 bu. of wheat for making a barrel of flour, how much does the wheat cost for 75 barrels of flour, the wheat being worth $2.10 a bushel? 4. If 15 bu. of wheat are grown to an acre, and 4 bu. are needed for making a barrel of flour, how many acres are needed to produce enough wheat for 100 barrels of flour? 5. Allowing 12 oz. of wheat flour to a loaf of bread, how many loaves can be made from a barrel of flour, the weight of a barrel of flour being 196 lb. ? 6. If 1 bu. of wheat weighs 60 lb., and 41⁄2 bu. are needed for a barrel of flour weighing 196 lb., what fractional part of wheat actually goes into flour? The result may be stated as a common fraction reduced to its lowest terms, as on page 54, or it may better be expressed as a decimal fraction to the nearest hundredth. 7. During the World War our people made every effort to increase the production of our farms so as to help the starving inhabitants of the countries abroad. In one year, by attending carefully to the potato crop, the crop increased 62% over that of the previous year. If it was 285,000,000 bu. the previous year, how much was it after the increase? III. LITTLE EXAMINATIONS i. 1. 471 ft.=(?) in. 2. 74 pk. = (?) qt. 3. 421 gal.=(?) qt. 5. 5275 × $5276.45. 6. $329.75 25. 7. 4876 × $328.72. 8. 875 x $8642.75. ii. 1. Find the area of a rectangle 38 ft. 6 in. by 42 ft. 6 in. 2. Find the area of a triangle with base 18 ft. and height 9 ft. 3. Find the area of a parallelogram with base 9 ft. 6 in. and height 5 ft. 2 in. 4. Find the area of a trapezoid with parallel sides 5 ft. 6 in. and 4 ft. 4 in., and height 3 ft. 6 in. 5. Find the volume of a rectangular solid 3 ft. 3 in. long, 2 ft. 8 in. wide, and 18 in. deep. ii. 1. Find the area of a triangle with base 224 ft. 8 in. and height 111 ft. 10 in. 2. The triangular gable of a house has a base 42 ft. and a height 14 ft. 8 in. Find the area of the gable. 3. How many cubic yards must be removed in digging a tunnel 468 ft. long, 21 ft. wide, and 18 ft. 6 in. high? 4. If 40 mules cost $5000, how much will 60 mules cost? 5. At $120 for ₫ A., how much will 1 A. of land cost? How much will 3 A. of land cost? iv. 1. 613 in. + 31 in. 2. 7 in.-5 in. 3. 83 × 91 in. 4. 77 ft.+47 ft. 5. 5.75 ÷ 21. 6. 38% of $9.60. 7. $5.25 +1. 8. of 131 ft. 9. 7 of 17 ft. 4 in. IV. REVIEW AND DRILL MINIMUM ESSENTIALS 1. Write in our common numerals the number eighty million, three hundred seventy-seven thousand, two hundred nine. 2. Write in our common numerals the number ninety-two and forty-four thousandths. 8. From the sum of $98.86 and $74.69 subtract $109.57. 9. Multiply 48.756 by 0.078. 10. From the sum of $95.42 and $87.69 subtract $129.78. 11. Divide 37.84 by 6.93, carrying the result to two decimal places; that is, to the nearest hundredth. |
