CHAPTER IV. DIVISION. 19. 1. WHEN wheat is 2 dollars a bushel, how many bushels can be bought for 12 dollars? ANALYSIS. Since 2 dollars will buy 1 bushel, 12 dollars will buy as many bushels as 2 dollars, the price of 1 bushel, is contained times in 12 dollars; 2 dollars is contained in 12 dollars 6 times. Therefore, at 2 dollars a bushel, 6 bushels of wheat can be bought for 12 dollars. 2. How many peaches at 2 cents apiece, can be bought for 18 cents? 3. If you can buy one lead pencil for 3 cents, how many can you buy for 24 cents? 4. For 16 dollars, how many cords of wood can be bought at 4 dollars a cord? 5. At 3 cents apiece, how many oranges can be bought for 21 cents? 6. In how many days can a man earn 20 dollars, if he earn 2 dollars a day? 7. Edward has 15 peaches, which he wishes to divide equally among his 3 brothers; how many must he give to each? 8. How many times 2 in 8? in 6? in 10? in 14? in 16? in 20? in 24? 9. How many times 3 in 6? in 12? in 18? in 21? in 9? in 27? in 33? in 24? in 36? 10. How many times 4 in 12? in 8? in 16? in 20? in 36? in 24? in 40? in 32? in 48 ? 11. How many tons of coal, at 4 dollars a ton, can be bought for 48 dollars? 12. If one penholder can be bought for 4 cents, how many can be bought for 20 cents? for 32 cents? for 40 cents? 13. Paid 36 dollars for 3 gold chains; what was the cost of each? 14. How many barrels of apples, at 3 dollars a barrel, can be bought for 36 dollars? 15. If you give 44 cents to 4 beggars, how many do you give to each? 16. If a man walk 3 miles an hour, how many hours will it take him to walk 30 miles? 17. Bought 4 barrels of flour for 28 dollars; what was the cost of one barrel ? 18. If I pay 27 cents for 3 pounds of sugar, how much do I pay a pound? 19. 15 are how many times 3? 5? 20. 36 are how many times 3? 6? 4? 20. 1. How many spools of thread, at 5 cents a spool, can be bought for 40 cents? for 50 cents? 2. When lard is 7 cents a pound, how many pounds can be bought for 56 cents? for 63 cents? 3. If a farmer divide 84 bushels of potatoes equally among 7 laborers, how many bushels will each receive? 4. If an orchard contain 64 trees, and 8 trees in a row, how many rows are there? 5. If a man travel 72 miles in 6 hours, how far does he travel in one hour? 6. Levi paid 7 cents for his ball; how many balls at the same price could he buy for 28 cents? for 56 cents? for 63 cents? for 84 cents? 7. How many bins will be required to hold 72 bushels of wheat, if each bin contain 8 bushels ? 8. At 5 dollars a week, how long will it take a man to earn 45 dollars? 50 dollars? 9. At 8 cents a pound, how many pounds of sugar can be bought for 96 cents? 10. If a man spend 6 cents a day for cigars, how many days will 60 cents last him? 11. A man bought some sheep for 48 dollars, at 4 dollars apiece; how many sheep did he buy? 12. If one man can do a job of work in 60 days, in what time can 5 men do the same work? 13. 45 are how many times 5? 9? 3? 14. 15. 16. 17. 18. 19. 20. 21. 22. 36 are how many times 4? 6? 9? 12? 84 are how many times 7? 12? 4? 6? 27. 28. 29. 66 are how many times 11? 6? 3? 75 are how many times 15? 5? 25? 88 are how many times 4? 11? 8? 30. 120 are how many times 12? 10? 8? 31. 140 are how many times 7? 10? 20? 82. 200 are how many times 20? 40? 50? 21. 1. If 6 men receive 72 dollars for building a barn, how many dollar's will each man receive? NOTE. If the pupil is sufficiently acquainted with Fractions, the following Analysis is often preferred. ANALYSIS. If 6 men receive 72 dollars, 1 man, which is of 6 men, will receive 1 of 72 dollars; } of 72 dol lars is 12 dollars. Therefore if 6 men receive 72 dol lars for building a barn, each man will receive 12 dollars. 2. If 81 cents be paid for 9 dozen of eggs, what will be the cost of 1 dozen? 3. A mechanic sold a wagon for 77 dollars, and took his pay in hay, at 11 dollars a ton; how many tons did he receive? 4. How long will it take 12 men to perform a piece of work that J man can do in 48 days? 5. Paid 108 dollars for 9 thousand feet of lumber; what was the cost of a thousand feet? 6. How many barrels of flour can be bought for 56 dollars, at 7 dollars a barrel? at 8 dollars? 7. How many cows, at 12 dollars a head, can be bought for 60 dollars? for 96 dollars? for 120 dollars? 8. When steak is 10 cents a pound, how many pounds can be bought for 50 cents? for 80 cents? for 100 cents? 9. At 11 cents a pound, how many pounds of sugar can be bought for 88 cents? for 99 cents? * When it is necessary to express a quantity less than a unit, we may regard the unit as divided into some number of equal parts, and use one of these parts as a new unit of less value than the unit divided. Thus, if a yard be divided into two equal parts, each of the parts is called one half; when into three equal parts, each of the parts is called one third; when into four equal parts, each of the parts is called one fourth; when into five equal parts, each of the parts is called one-fifth; two of the parts, two fifths, &c.; when into six equal parts, each of the parts is called one sixth; two of the parts, two sixths, three of the parts, three sixths, &c. 10. A man planted an orchard of 132 trees, and put 11 trees in a row; how many rows in the orchard? 11. A farmer sold a horse for 120 dollars; how many cows at 12 dollars each would pay for the horse? How many young cattle at 8 dollars each? How many sheep at 5 dollars each? 12. If 25 sheep cost 75 dollars, what will 1 sheep cost? 13. If a boy read 7 pages a day, how long will it take him to read 56 pages? to read 84 pages? 98 pages? 14. At 15 cents a pound, how many pounds of coffee can be bought for 45 cents? for 60 cents? for 90 cents? 15. If 1 man can do a piece of work in 72 days, in what time can 6 men do it? 8 men? 9 men? 12 men? 16. If a certain quantity of provision will last 1 man 36 days, how many days will it last 4 men? 9 men? 12 men? 17. A man earns 66 dollars in 11 weeks; how much does he earn in 1 week? how much in 1 day? 18. If a painter receive 100 dollars for painting 5 carriages, how much does he receive apiece? 19. How many lots containing 12 acres each can be sold from a farm of 120 acres? how many lots of 20 acres each? 20. If a steamboat run 11 miles an hour, how long will she be in running 44 miles? 88 miles? 110 miles? 21. How many men, at 8 dollars a month, can be hired one month for 96 dollars? how many at 12 dollars? how many at 16 dollars? 22. If I travel 120 miles in 6 days, how many miles do I travel in 1 day? |