7. If a man travel six miles in two hours, how many miles does he travel in an hour? 8. If a man travel three miles in an hour, how many hours will it take him to travel nine miles ? 9. How many yards of cloth, at three dollars a yard, can you buy for fifteen dollars ? 10. If you had sixteen cents, how many cakes could you buy at four cents apiece? 11. If you had ten dollars, how much cloth could you buy at five dollars a yard ? 12. If you had twelve apples to give to six of your companions, how many would you give them apiece? 13. If a man can travel six miles in an hour, how long will it take him to travel eighteen miles ? 14. If a man can travel five miles in an hour, how long will it take him to travel twenty miles ? 15. In a certain orchard there are twenty-four trees standing in rows, and there are three trees in each row; how many rows are there? 16. In an orchard there are twenty-one trees, and there are seven trees in each row; how many rows are there? 17. A man paid twenty-seven dollars for some sheep, and he gave nine dollars apiece for them ; how many Bheep did he buy? 18. A man paid twenty-eight dollars for seren harrels of cider ; how much did he give a barrel ? 19. At five cents apiece, how many oranges can you buy for thirty cents ? 20. Twenty-five are how many times five? 21. Thirty-two are how many times four ? How many times eight? 22. Thirty-five are how many times seven ? How many times fire ? 23. Thirty-six are how many times six ? How many times nine? How many times four? it! B. Remark. When any thing, or any number, is divided into two equal parts, one of the parts is called the half of the thing or the number. 1. If an apple is worth two cents, what is one half of it worth? 2. What is one half of two cents ? A. Because, if you divide two cents into iwo equal parts, one of the parts is one cent. 3. If you can buy a cake for two cents, how much can you buy for one cent? 4. One is what part of two? you can buy one pear for two cents, how many can you buy for three cents ? 7. Three are how many times two? Ans. Once two and one half of two. 8. Four are how many times two ? 9. If two shillings will buy one yar:) of cotton cloth, how many yards will five shillings buy? 10. Five are how many times two? 12. If two dollars will buy a yard of clotlı, how many yards will seven dollars buy? 13. How many halves make a whole one? Remark. When any thing, or any number, is divided into three equal parts, one of those parts is called the third part of the thing or number. When it is divided into four equal parts, one part is called the fourth part, and so on. 17. If a yard of cloth be worth three dollers, and it be cut into three equal pieces, what will one of the pieces be worth? that is, what will one third of a yard be worth? 18. What is a third of three? 19. Suppose the yard of cloth to be cut as before, what will two pieces of it cost ? that is, what will two thirds of a yard cost ? 20. What is two thirds of three ? 21. If three shillings will buy one bushel of corn, what part of a bushel will one shilling buy? What part of a bushel will two shillings buy? 22. One is what part of three ? Ans. One is the third part of three ; or one third of three. 23. Two is what part of three? Ans. Two is two times the third part of three ; or two thirds of three.* 24. Three times one are how many times three ? 25. If you can buy a barrel of cider for three dollars, how much can you buy for four dollars ? How much for five dollars ? 26. How many thirds make a whole one ? 27. Five are how many times three ? Ans. Once three and two thirds of three. 28. Six are how many times three ? 29. If you can buy a barrel of fish for three dollars, how much can you buy for seven dollars? How much for eight dollars ? 30. What do you understand by a third, and by two thirds, of anything? For the answer, see remark after example 16th. 31. Eight are how many times three? 32. Nine are how many times three? 33. Ten are how many times three? * The instructor may use either of those expressions ; the for. mer will be most easily understood by the pupil; it would be well, therefore, for the instructor to use the formet trequently, though the latter is used for the most part in this treatise. 34. Eleven are how many times three ? 36. If a yard of cloth be worth four dollars, and it be cut into four equal parts, what will one of the parts be worth? that is, what is one fourth of it worth? What are two fourths of it worth? What are three fourths of it worth ? 37. If you can buy a barrel of cider for four dollars, how much can you buy for one dollar ? How much for two dollars ? How much for three dollars ? 38. What part of four is one? 42. If you can buy a bushel of corn for four shillings, how much can you buy for five shillings? How much for six shillings? Low much for seven shillings? 43. Five are how many times four ? 47. If four bushels of corn will buy one yard of cloth, how many yards will nine bushels buy? How many yards will ten bushels buy? How many yards will eleven bushels buy? 48. What do you understand by one fourth, two fourths, or three fourths of anything? See remark after example 16th. 51. Twelve are how many times four ? 52. Thirteen are how many times four ? 53. Fourteen are how many times four? 54. Fifteen are how many times four ? 55. Sixteen are how many times four? 56. If a barrel of flour be worth five dollars, and it be divided equally among five men, what will one man's share be worth ? that is, what is one fifth of a barrel worth? What are two fifths of it worth? What are three fifths of it worth? What are four fifths of it worth? 57. If five dollars will buy one box of butter, what part of a box will one dollar buy? What part will two dollars buy? What part will three dollars buy? What part will four dollars buy ? 58. What part of five is one ? 63. If cherries are five cents a quart, how many quarts can you buy for six cents ? How many for seven cents? How many for eight cents ? How many for nine cents ? How many for eleven cents ? How many for thirteen cents ? 64. What do you understand by one fifth, two fifths &c. of anything? See remark after example 16th. times five ? 67. Nine are how many times five ? 68. Ten are how many times five ? 69. Elever are how many times five ? many |