32. If a pound of figs cost 28 cents, how much would of & pound cost? Analysis. If 4 fourths, or a whole pound, cost 28 cents, then of a pound would cost one fourth of 28 cents, which will be 7 cents. Ans. 7 cents. 33. If a box contains 48 oranges, how many oranges in of the box? Analysis. If 6 sixths of the box, or the whole box, contain 48 oranges, then of the box will contain one sixth of 48 oranges, which will be 8 oranges. Ans. 8 oranges. 34. If a yard of muslin cost 35 cents, what would be the cost of of a yard? Ans. 35. If a bushel of wheat weigh 60 pounds, what would be the weight of of a bushel? Ans. 36. Thomas has a fishing-line which measures 32 feet; how long is of the line? Ans. 37. If a lot of land is worth 216 dollars, what is the value of of the lot? 11/8 Ans. 38. There are 60 minutes in an hour; how many minutes in of an hour? Ans. 39. If a man travels 252 miles in a week, how far could he travel in of a week? Ans. 40. If of a number is 8, how much would of it be? Analysis. If one fifth of the number is 8, then three fifths of the number would be 3 times 8, which will be 24. How many times more is than ? Ans. 24. Ans. 3 times. 41. If of an acre of land costs 20 dollars, what would be the cost of of an acre? Analysis. If one seventh of an acre costs 20 dollars, then six sevenths would cost 6 times as much, which will be 120 dollars. Ans. 120 dollars. How many times more is than ? Ans. 42. If of a number is 7, how much is & of it? Ans. Ans. 43. If of a farm contains 48 acres, how many acres would of the farm contain? 44. If of a grist-mill be worth 475 dollars, how much would of it be worth? Ans. 45. If of a factory be worth 7253 dollars, what would be the value of at the same rate? Ans. 46. If of a pound of pepper cost 20 cents, what would of a pound cost? Analysis. If 4 fifths of a pound cost 20 cents, then one fifth of a pound would cost one fourth of 20 cents, which will be 5 cents. Ans. 5 cents. 47. If of a yard of muslin cost 56 cents, what would be the cost of of a yard? Analysis. If 7 eighths of a yard cost 56 eighth would cost one seventh of 56 cents, 8 cents. cents, then one which will be Ans. 8 cents. 48. If of a pound of butter sell for 36 cents, how much would of a pound sell for? Ans. 12 cents. 49. If of a clothes-line measures 45 feet, what is the length of of the line? Ans. Ans. 50. In of a dollar there are 70 cents; how many cents in of a dollar? 51. Ir of an hour there are 50 minutes; how many minutes in of an hour? Ans. 52. If of a piece of silk contain 35 yards, how many yards in of the piece? 53. If would 54. If yards in Ans. of a lot of land sell for 72 dollars, how much of the lot sell for at the same rate? Ans. of a piece of calico measure 45 yards, how many of the piece? Ans. 55. If of a piece of broadcloth is worth 42 dollars, what would be the value of of the piece? 56 If Ans. of a ton of iron cost 35 dollars, what would be of a ton? Ans. the cost of 57. If of a pound of coffee cost 15 cents, what would a whole pound cost? Analysis. If three sevenths of a pound cost 15 cents, then me seventh of a pound would cost one third of 15 cents, which will be 5 cents; and if one seventh costs 5 cents, then seven sevenths, or a whole pound, would cost 7 times as many cents, which will be 35 cents. Ans. 35 cents. 58. If of a man's age is 35 years, how old is he? Analysis. If five ninths of his age is 35 years, then one ninth of his age would be one fifth of 35 years, which will be 7 years; and if one ninth of his age is 7 years, then nine ninths, or his whole age, would be 9 times as many years which will be 63 years. Ans. 63 years. 59. If of a number is 48, what is the number? Ans. 64. 60. If of a bushel of potatoes be worth 72 cents, what would be the value of a bushel? Ans. 90 cents. 61. If of a man's age is 42 years, what is his age? Ans. 48 years. 62. If of a certain number is 105, what is the number? Ans. 150. 63. If of a farm contain 115 acres, how many acres in the whole farm? Ans. 276 acres. 64. A gentleman sold three eighths of a lot of land for 972 dollars; what was the value of the whole lot? Ans. 2592 dollars. 65. Three fifteenths of a factory was valued at 4275 dollars; what was the value of the whole factory? Ans. 21375 dollars. 66 Four ninths of a gentleman's estate was valued at 5708 dollars. How much was his estate worth? 67. In, how many ninths are there? Ans. 12843 dollars. Analysis. In 1 unit there are 9 ninths, and in of a unit there will be one third as many ninths, which will be 3 ninths, or expressed thus, 3. Therefore, 68. In, how many sixteenths? = 욥. Analysis. In 1 unit there are 16 sixteenths, and in of a unit there will be one fourth as many sixteenths, which will be 4 sixteenths, or, written thus, . Therefore, f. 69. In, how many twelfths? = 16. Ans. Ans. Ans. Ans. Ans. Ans. Analysis. 1 unit is equal to 10 tenths; then of a unit will be equal to one fifth as many tenths, which will be 2 tenths, and will be equal to 3 times as many tenths, which will be 6 tenths, or, written thus, 76. Change to thirtieths. Ans. Analysis. 1 unit is equal to 30 thirtieths, and of a unit will be equal to one sixth as many thirtieths, which will be 5 will be 5 times as many thirtieths, which will thirtieths, and be 25 thirtieths, or, written thus, 38. 77. Change to fifteenths. Ans. 15. Ans. Ans. 78. Change to fourteenths. 79. Change to thirty-fifths. 80. Change to twentieths. 81. Change to forty-fifths. 82. Change to forty-fifths. Ans. 25. Ans. Ans. f. Ans. 83. Change to thirty-sixths. Ans. H 84. If 5 apples be equally divided among 7 boys, what part of an apple would be the share of each boy? Analysis. If only 1 apple were divided among 7 boys, cach boy would receive of an apple, and if five apples were divided, each boy would receive 5 times of an apple, which would be of an apple. $ Ans. of an apple. 85. If 6 cantaloupes be equally divided among 10 men, what part of a cantaloupe would be the share of each? Analysis. If only 1 cantaloupe were divided among 10 men, each man would receive of a cantaloupe, and if 6 cantaloupes were divided, each man would receive 6 times cantaloupe, which would be of a cantaloupe. of a Ans. of a cantaloupe. 86. If 4 oranges be equally divided among 6 girls, how much of an orange would each girl receive? Ans. of an orange. 87. William divided 4 cakes equally among 5 of his playmates; what part of a cake did each one get? Ans. of a cake. 88. A gentleman distributed 5 dollars equally among 6 poor persons; what was the share of each ? Ans. of a dollar. Ans. of an apple. 89. Nine apples were equally divided among 5 boys; what was the share of each boy? 90. A society distributed 6 cords of wood among 4 poor families; how much did each family get? Ans. of a cord. 91. In of an orange, how many whole oranges and parts of an orange? Analysis. Since 4 fourths make 1 whole orange, then in 11 fourths there will be as many whole oranges as 4 is contained times in 11, which will be 2 times and 3 fourths over. Hence, there will be 2 oranges and of an orange. Ans. 23 oranges. |