19. If a man gave to his eldest son $7250, to the second son $775 less than to the eldest, and to the third $928 less than to the second, how much did each and all receive? 20. A flour-dealer bought 500 barrels of flour for $3125, and sold 217 barrels for $1725. How many barrels were left, and how much are they worth? SECTION IV. MULTIPLICATION. Problems. Find the product of 1. 4075 X 135; 8064 × 531; 7503 × 357. 6. 9761 × 456 = how many? 456 × 9167? 7. How many inches are 30000 inches 345? 8. What is the product of 16500 feet × 1928? 9. The multiplicand is 91870, and the multiplier is 706. What is the product? 10. What is the product if the multiplier is 2376, and the multiplicand is 75 dollars? 11. Multiply thirty thousand, ninety-nine by four hundred fourteen; and by four thousand. 12. The multiplicand is seven thousand, ninety-eight feet, and the multiplier is three hundred five. What is the product? 13. Two factors are 405 and 7020. What is their product? 14. What is the product of the two factors 45 and 670 ? 15. If the earth moves around the sun at the rate of 1092 miles in a minute, how far does it move in 1440 minutes, or one day? In 7 days? 16. In a square mile are 640 acres. How many acres are in Pennsylvania, which contains 46000 square miles? 17. What would it cost to build 375 miles of a telegraph line, at $1725 per mile? At $2025 per mile? 18. A farm of 146 acres was sold at auction at $175 an What was the selling price of the farm? acre. 19. If a quantity of provisions will supply 960 soldiers 92 days, how many soldiers would it supply for one day? 20. Find the product of the three factors 23 × 45 × 67. 21. If a ferry-boat carries on an average 68 passengers each trip, how many passengers does it carry in 6 days, making 15 trips a day? In 12 days? 18 days? 22. A farmer had 46 acres of wheat which yielded 28 bushels an acre. What was the crop worth at $2 a bushel? 23. How much money is needed to pay a regiment of 960 men for 12 months, if each man receives $16 a month? 24. What is the product of 23 times 45 times 678? 25. How many words are in a book of 328 pages, if it averages 32 lines on each page, and 12 words in each line? 26. If sound moves at the rate of 1142 feet in a second, how far will it move in 5 minutes of 60 seconds each? 27. If a horse requires 15 pounds of hay per day, how many pounds of hay are required to feed 6 horses during the 30 days of April? The 31 days of December? 28. A freight-train consists of 20 cars; each car contains 2 75 barrels of flour, and each barrel weighs 196 pounds. What weight of flour is in the cargo? 29. Multiply 34567 by 1234; by 2345; by 3456. 30. Multiply 5607089 by 5067; by 56078; by 70898. 31. Multiply 70809080 by 34560; by 46890; by 57930, 32. Multiply 24689000 by 357900; by 9876000. 33. What is the product if the multiplier is 987654, and the multiplicand is $24685900 ? Problems in Addition, Subtraction and Multi plication. NOTE.-Numbers connected by the sign X are to be multiplied first; then numbers or results connected by + are to be added; and, lastly, numbers or results preceded by are to be subtracted. 1. What is the sum of 57 times 123 and 68 times 234? 2. What is the difference between 78 times 345 and 89 times 456? 3. What is the result of 642 × 68 246 X 86? 4. Find the sum of 357 × 57 + 579 × 75. The result of 63251875 125 X 25. 5. Multiply the sum of 305 and 970 by the difference between 1005 and 705. 6. What is the product obtained by multiplying the difference between $2050 and $905 by the sum of 725 and 280? The product of $2050 +$905 multiplied by 725-280? 7. Harry earned in a year 25 times 25 dollars less 275 dollars. What amount did he earn? 8. An engineer earns $60 a month, and his expenses are $625 a year. How much can he save in 2 years? How much in 15 years? 9. A pork-packer put up 800 barrels of pork that cost him $12 a barrel, and sold them all at a gain of $1725. What was the selling price? 10. A man paid $2500 for the building of his house, and for his farm he paid 4 times as much, lacking $750. What was the cost of his property? 11. A cotton-merchant bought 436 bales of cotton at $125 a bale, and sold them at $144 a bale. How much did he gain? 12. If a drover who has 175 cattle should buy 87 more, and then sell them all at $45 each, how much would he receive for them? 13. The President of the United States receives a salary of $50000 a year. If his expenses are $100 a day, how much does he save in 365 days, or a year? 14. A company built 425 miles of railroad at $15257 a mile. After having paid $5000000, how much did the company still owe? 15. If a flour-dealer who buys 1500 barrels of flour at 9 dollars a barrel should pay cash $9000 and give his note for the balance, what would be the value of the note? 16. A banker has an income of $12750 a year; he pays $1500 for house-rent, and 5 times as much for family expenses. How much does he save annually? 17. A drover bought 125 cattle at $35 a head, and it cost him $6 a head to get them to market. If he sold them at $45 a head, how much did he gain or lose? 18. Two persons are 1200 miles apart, and walk towards each other, one going 35 miles a day, and the other 30 miles a day. How far apart will they be at the end of 15 days? At the end of 18 days? 19. A cleared in business one year $750, B 3 times as much, lacking $575, and C twice as much as A and B together. How much did B clear? How much did C clear? How much did all clear? SECTION V. DIVISION. Problems. Find the quotient of 1. 48964; 6785 ÷ 5; 8766 ÷ 6; 9961 ÷ 7. 2. 789846; 898737; 987608; 10908 ÷ 9. 3. 9064 reams ÷ 8; 8298 quires 9; 9872 sheets ÷ 8. 4. 128979 bushels9; 985768 quarts ÷ 8. 5. 106584 square yards 8; 679761 square feet 9. 6. Divide 255150 by 3, by 5, by 7, and by 9. 7. What is the quotient of 290439 feet ÷ 9? 8. The dividend is 292530, and the divisor is 7. What is the quotient? 9. What is the quotient, if the dividend is 256896 gallons, and the divisor is 8? 10. 35797; 24680÷8; 97531÷8; 4680 ÷ 7. 11. 2947 cases÷6; 38560 chests7; 8642 sacks 8. 12. 37250 bales÷7; 92720 pair÷8; 46358 tons ÷ 9. 13. Divide 3151719 feet by 6, by 8, by 7, and by 9. 14. 7 times a certain number is 1020304. What is the number? 1020304 is 8 times what number? What is 15. One-sixth of 237500? 19. One-fourth of $12572? 16. One-eighth of 125725? 20. One-sixth of 27852 rods? 17. One-seventh of 37265? 21. One-fifth of 92837 feet? 18. One-ninth of 928650? 22. One-ninth of 30502 tons? 23. If the dividend is 102750 feet, and the divisor is 8, what is the quotient? If the divisor is 9? |