20. Suppose 8 is of some number, what is of that number? Ans. 4. Why? Say if 8 be two parts, the half of 8 will be one part, and 4 is the half of 8. 21. Suppose 12 is of some number, what is of that number? Why? 22. If 16 be of some number, what is of that number? Why? What is the whole, or 3 of the number? 23. 18 is of what number? 20 is, 24 is, 22 is? of 27? First find; thus, 3 in 27, 9 times; then 9 is of 27, and two 9s, or 18 is of 27. 25. What is one-half (4) of 24, of 28, 26. What is of 39, of 39, of 42, 27. If an orange cost 4 cents, of it worth? of 36? of 36, of 56 ? what is one-fourth 28. What are we to understand by the term onefourth () and ()? Ans. If any thing, or any number, be divided into 4 equal parts, one of those parts is called one-fourth (4), two of them, two-fourths (2), three of them (). What is 4 of 8, of 12, of 20, of 24, of 28? How many fourths make the whole of any number? 29. How do you find one-fourth of any number? Ans. by dividing it by 4. What is of 36, of 48, of 32? 30. 7 is of what number? 9 is of what number? 13 is of what number? of what number? 14, 18, 17, 15, 19, 23, 24, 25? of some number, what is of that number? Say, if 18 be 3 parts, one-third of 18 must of 18 is 6. 31. 16 is 32. If 18 be Ans. 6. Why? be one part, and 33. 24 is 34. If 27 be of what number? 36 is, 42 is, 15 is? of some number, what is that number? First find by dividing 27 by 3. 35. If you have of a number, how do you get? Ans. divide the number by 3,-after you get, how do you get the whole, or 4? 36. If 36 be of some number, what is that number? Ans. 48. Why? Say, if 36 be 3 parts, of 36, or 12 must be one part; and as the number contains 4 of those parts, 4 times 12 must be the number; now 4 times 12 make 48. 37. What is of 20, of 36, of 40, of 60, of 72, of 76, of 96? 38. What is of 12, of 36, of 56, of 72, of 48, of 76? 39. What is of 36, of 21, 4 of 24, 1 of 34, } of 42, \ of 60 ? 40. What is of 58, of 21, 3 of 39, 4 of 44, 4 of 16, of 20? 41. If 2 pounds of sugar cost 28 cents, what will one pound cost? Ans. 14 cents. Why? Since 2 pounds cost pound will cost of 28 cents, and 14 is 28 cents, one of 28. 42. If 3 bushels of apples cost 72 cents, what will one Why? Since 3 bushels of bushel cost? Ans. 24 cents. apples cost 72 cents, one bushel will cost of 72 cents, and of 72 is 24. 43. If 4 yards of muslin cost 72 cents, what will one yard cost? Ans. 18 cents. Why? Since 4 yards cost 72 cents, one yard will cost of 72 cents, and of 72 is 18. 44. If 3 bushels of apples cost 69 cents, what will 2 bushels cost? Ans. 46 cents. Why? Since 3 bushels cost 69 cents, one bushel will cost of 69 cents, which is 23 cents, and 2 bushels will cost of 69 cents, or twice 23 cents= 46 cents. 45. If 3 yards of linen cost 84 cents, what will 2 yards cost? Why? 46. If 4 yards of cotton cloth cost 72 cents, what will 3 yards cost? Why? 47. If 2 bushels of corn cost 84 cents, what will 7 bushels cost? Ans. $2.94. Why? Since 2 bushels cost 84 cents, 1 bushel will cost of 84, or 42 cents, and 7 bushels will cost 7 times of 84, or 7 times 42 cents. of a 48. If of a yard of silk, cost 87 cents, what will yard cost? Ans. 29 cents. Why? Since 3 parts cost 87 cents, 1 part will cost of 87 cents, and of 87 is 29. 49. If of a yard of cotton cloth cost 18 cents, what will a yard cost? Ans. 24 cents. Why? Since 3 parts cost 18 cents, 1 part will cost of 18 cents, which is 6 cents, and 4 parts will cost 4 times of 18 cents, or 4 times 6 cents 24 cents. 50. What is to be understood by the term? Ans. If any thing or any number, be divided into 4 equal parts, 3 of these parts are called of that thing or number; or we may express it more briefly by saying 3 of 4 equal parts. 51. If a pound of honey cost 32 cents, what will of a pound cost? Why? 52. If of a bushel of corn cost 39 cents, what is a bushel worth? Why? What are 8 bushels worth? 53. If of a barrel of flour cost 6 dollars, what will 12 barrels cost? Why? 54. If a pine-apple be worth 20 cents, and it be cut into 5 equal pieces, what will one piece be worth? 55. If any thing or any number be divided into 5 equal parts, what do we call one of those parts? Ans. one-fifth. How many fifths make the whole of any thing or of any number? Ans. five. 56. What is one-fifth (1) of 20? Ans. 4. Why? Because 5 times 4 make 20, and 5 times make the whole of any thing or of any number. 57. How do you find of any number? by 5. What is of 45? Ans. divide it of 35, of 40, of 60, of 75, of 15, of 30, 58. What is of 60? of 80, of 80, of 80, 3 of 45, of 10, 59. If 32 be of some number, what is of that number? Ans. 8. Why? Since 32 make 4 parts of a certain number, of 32 must be 1 part of that number, and is 8. of 32 60. If you divide a number by 5, what part of the number do you get, if you divide by 4, by 3, by 2? 61. What is of 28, of 36, of 12, of 42, of 60, of 36, of 85? 1 5 62. If 42 beg of some number, what is that number? Ans. 70. Why? Say, if 42 be 3 parts of some number, then of 42 must be 1 part of that number, and as the number consists of 5 parts, 5 times of 42 will make the whole of the number, of 42 is 14, and 5 times 5 times 14-70. 63. 36 is 64. 18 is 65. 24 is 66. 36 is number? of what number? of what number, is of 42 is Why? of what number? Why? of what number, is, is 3, is , is, of what ៖ 67. What is of 80, g of 80, of 80, of 80, 3 of 45, of 48? Why? 68. 48 is of what number, }, is 4, is }, is, is of what number? 69. If 5 yards of muslin cost 70 cents, what part of 70 cents will 1 yard cost, will 2 yards, 3 yards, 4 yards? What 1 of 70, %, 3 of 70? is ! 51 5 70. 5 pounds of cheese cost 40 cents, what will 1 pound cost, 2 pounds, 3, 4 pounds? Why? 71. If g of a yard of calico cost 27 cents, what will a yard cost, 4 yards, 10 yards, 7 yards, 3 yards? Why? 72. If a bushel of oats cost 35 cents, what will g of a bushel cost, of a bushel? Why? 73. If a man travel 28 miles in of a day, how far will he travel in a day, in 8 days? Why? 74. If 45 bushels of corn grow on an acre of land, how much will grow on 3 of an acre, of an acre, 75. If a bushel of wheat cost 90 cents, what is worth, of a bushel, of a bushel ? of an acre? a bushel 76. A man being asked how many sheep he had, said that of the number made 57; how many had he? 77. A man being asked the age of his eldest son, said his youngest son's age was 18 years, which was three-fifths (3) of the age of his eldest son, what was his eldest son's age? 78. A man bought two cows, for one he gave 24 dollars, which was of what he gave for the other, what did he give for the other? 79. A man bought a cow, an ox, and a horse, for the cow he gave 27 dollars, which was of what he gave for the ox, and the price of the ox was as much as the price of the horse; what was the price of the ox, and also of the horse? 80. John bought a slate, an Arithmetic, a Reader, and a Dictionary; for the slate he gave 16 cents, which was of what he gave for his Arithmetic, and the price of the Arith metic was of what he gave for his Reader, and the price of the Reader was of what he gave for his Dictionary; what did he give. for his Arithmetic, for his Reader, and for his Dictionary? D 81. If a melon cost 6 cents, and it be cut into 6 equal pieces, what will one piece be worth? What is one of 6 equal parts called? Ans. 1. 2 of 6 equal parts, 3, 5 of 6 equal parts? How many sixths are there in the whole of any thing, or of any number? 82. How do you find one-sixth of any number? divide it by 6, that is, find how many times 6 is contained in it. 83. What is of 24, of 48, of 36, of 30, of 18, of 72, of 96, of 78, of 54? 84. What is of 18, of 36, of 60, of 72, of 42, of 84, of 48, of 96, of 54, of 78? 85. Suppose 72 dollars are to be divided among six men, what part of 72 dollars must one man receive, 2 men, 3 men, 5 men? How many dollars will one man receive, 5 men? 86. If of a certain number be 45, what is of that number? Ans. 9. Why? Since 5 parts of a number make 45, 1 part will be of 45, and of 45 is 9. 87. 14 is 28 is? 88. 30 is 30 is 5 parts, consists of 6 of what number, 16 is, 12 is, 15 is, 25 is, of what number? Ans. 36. Why? Since of 30 must be one part, and as the number parts, 6 times of 30 is the number; now of 30 is 6, and 6 times of 30 is 6 times 6=36. 89. 40 is of what number, 65 is, 35 is, 75 is, 60 is, 70 is, 80 is? 90. What is of 60, of 60, of 60, of 60, of 60, of 60, of 60? 91. What is of 84, 4 of 84, § of 96? of 40, of 60, § of 72, 92. If a yard of linen cost 54 cents, what will of a yard cost, of a yard? Why? 93. If of a day's labour be worth 70 cents, what will of a day be worth, what will a day's labour be worth? Why? 94. If of a bushel of apples cost 35 cents, what will a bushel cost, what will 12 bushels cost? Why? 95. If a yard of muslin cost 18. cents, what will 2 yards and of a yard cost? 96. A man sold a cow for 20 dollars, which was only |