GROUP 4 1. A campaign committee sent out 125,000 pamphlets. Printing cost $2.10 per thousand, postage 1 each, and addressing and mailing took 33 clerks 5 days at $2 per day. Find the total cost to the committee. 2. A man pays $65 an acre for 40 acres of land. He buys at 15 each enough nursery stock to plant 80 trees to the acre and pays $220 for the labor of planting. For how much must he sell the orchard to gain $1200? 3. A steam shovel removes 57 cubic yards of dirt during each hour of a 10-hour day. Its operating cost is $13 per day for wages, $5.25 for fuel and water, and $6.32 for incidental charges. How much does it cost to remove each cubic yard of dirt? 4. An excursion train of 12 coaches travels 144 miles. Each coach carries 72 passengers who pay $1.50 each for the trip. How much does the railroad company receive for each mile traveled? 5. A coal dealer bought 475 tons of coal, receiving 2240 pounds for a ton. If he sold it at 2000 pounds per ton, how much did he receive at $7.50 per ton? 6. A horse consumes 60 bushels of oats in a year, and a cow 40 bushels. A farmer who raises 900 bushels saves out enough to feed 4 horses and 2 cows. At 50 per bushel how much does he receive for the remainder? 7. Mr. Frank Carter bought of the Star Grocery: 1 qt. cranberries at 15 per qt. 1 basket of grapes at 20. 2 lb. tomatoes at 15¢ per lb. He tendered a twenty-dollar bill in payment. How much change did he receive? 8. Make out, extend, and foot a bill for the following : Chas. Walters bought of the Talmadge Hardware Company, 1 handsaw, $2.10; 17 pounds of eightpenny nails at 7 per pound; 25 feet of rubber hose at 18 per foot; 35 yards of iron sheeting at 25¢ per yard; 60 feet of poultry fence at 51¢ a running foot; 21 gross of inch screws at 92¢ per gross. 9. A dramatic producer spent $4350 for costumes, $13,875 for scenery, $ 945 for labor, and $6500 for advertising. His receipts were $27,500, out of which $2750 was paid to the author of the play in royalties. How much did he lose? 10. Determine the balance in the following trial balance of a fire insurance company. GROUP 5 1. If 1648 is the divisor and also the quotient in a problem in division, what is the dividend? 2. How many times must 27,685,943 be subtracted from 332,231,316 to leave 0 ? 3. From the following schedule of property left by a testator, determine the share of each of seven heirs who share equally. : 4. Find the total value of the cotton exports to the following countries United Kingdom, $44,580; Canada, $181,462; Mexico, $21,205; Central American States, $236,259; Cuba, $113,258; Haiti, $56,206; Brazil, $ 10,402; China, $336,243; Philippine Islands, $479,655; other countries, $217,082. 5. A fruit grower receives $1800 for his apple crop taken from 40 acres of orchard, 60 trees to the acre. His expenses are: for pruning, $90; for spraying, $85; for picking and packing, $185. What is his profit on the crop from each. tree? 6. Five children have left to them $3154 each; one of them dies, and the remaining four divide the entire fortune. How much does each receive? 7. From the following find the total amount of money in circulation in the United States on Sept. 3, 1912. Gold coin, 611,699,253; gold certificates, $ 948,650,439; standard silver dollars, $71,068,661; silver certificates, $471,846,931; subsidiary silver, $146,116,659; treasury notes of 1890, $2,875,546; U. S. notes, $338,613,664; national bank notes, $705,622,027. 8. In the following table of government disbursements, find the total for each month, and the total under each heading: 9. What is the government's average monthly expenditure for civil purposes? for the war department? for the navy? (Data in example 8.) 10. How much does the civil expenditure exceed the war expenditure for each month? (Data in example 8.) PROPERTIES OF NUMBERS 39. The factors of a quantity are two or more quantities, which, when multiplied together, will produce the given quantity; e.g., 3 and 5 are the factors of 15. 40. Factoring is the process of separating a number or quantity into its factors. TO THE TEACHER. Give the student much drill on resolving numbers into factors, and on the Tests of Divisibility. Careful work here will save time later in the solution of problems. 41. A prime number is one which cannot be exactly divided by any other number except itself and 1. A prime factor is a prime number used as a factor. Numbers prime to one another are such as have no common divisor other than 1. 42. An even number is a number exactly divisible by 2. 43. Tests of divisibility : 1. All even numbers are divisible by 2. 2. If the sum of the digits of a number is divisible by 3 or 9, the number is divisible by 3 or 9. 3. If the two right-hand figures of a number are ciphers or are divisible by 4, the number is divisible by 4. 4. If the right-hand figure of a number is 0 or 5, the number is divisible by 5. 5. An even number divisible by 3 is also divisible by 6. 6. If the three right-hand figures of a number are divisible by 8, the number is divisible by 8. 7. When the right-hand figure of a number is 0, the number is divisible by 10. |