16. In an orchard there are twenty-one trees, and there are seven trees in each row, how many roʻys are there? 17. A man paid twenty-seven dollars for some sheep, and he gave nine dollars apiece for them, how many sheep did he buy? 18. A man paid twenty-eight dollars for seven barrels 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 five ? 23. Thirty-six are how many times six ? How many times nine ? How many times four ? 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 two, 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 ? 6. If you can buy one pear for two cents, how many can you buy for three cents ? 7. Three, are how many times two ? 8. Four are how many times two ? 9. If two shillings will buy one yard of cotton cloth, how many yards will five shillings buy ? 10. Five are how many times two ? Ans. Two times two and half of two. 11. Six are how many times two ? 12. If two dollars will buy a yard of cloth, 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 dollars, 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.* * The instructer may use either of these expressions ; the former will be most easily understood by the pupil ; it would be well, there. 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 ? 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 any thing ? 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 ? 34. Eleven are how many times three ? 35. Twelve 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 shilfore, for the instructer to use the former frequently, though the latter is used for the most part in this treatise. lings, how much can you buy for five 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 any thing? See remark after example 16th. 49. Ten are how many times four ? 50. Eleven are how many times four ? 51. Twelve are how inany 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 ? Ans. Two fifths of five. 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 any thing ? See remark after example 16th. many times five? 73. Fifteen are how many times five ? 74. If a barrel of beef cost six dollars, and it were divided into six equal parts, what would one of the parts be worth? that is, what is one sixth of it worth? What are two sixths of it worth? What are three sixths of it worth? Four sixths? Five sixths ? 75. If fish is worth six dollars a barrel, what part of a barrel will one dollar buy? What part of a barrel will two dollars buy? Three dollars ? Four dollars ? Five dollars ? 76. What part of six is one ? |