42. What is the sum of 1263 pounds, 924 pounds, and 2065 pounds? 43. What is the sum of 1250 bushels, 720 bushels, and 640-7 bushels? 44. I bought four pieces of cloth containing 325, 381, 407, and 45 yards, respectively. How many yards did I buy in all? 45. Five men weigh, respectively, 1561, 1607, 1651, 162, and 1685 pounds. What is their entire weight? 46. John has $1; James, $53; Charles, $1717; and Edward, $124. How much have they together? 47. A farmer received $17 for oats, $281 for corn, $763 for wheat, and $150,7 for a horse. How much did he receive for all? 48. Sarah is 11 years old; Mary is 31 years older than Sarah; and Henry is 5 years older than Mary. How old is Henry? What is 49. From A to B is 183 miles, from B to C 20 miles, from C to D 81§ miles, from D to E 37,192 miles. the distance from A to E ? 50. A merchant sold 33 yards of cloth for $161, 5 yards for $241, and 83 yards for $281. How many yards did he sell, and how much money did he receive? 51. A has 131 acres of land, B has 17 acres more than A, C has as much as both A and B. How many acres has B, how many has C, and how many have they all together? 52. A man has three fields containing, respectively, 164 acres, 1818 acres, and 1517 acres. How many acres are there in the three fields? 53. Mr. B walked 23 miles on Monday, 25 miles on Tuesday, 2714 miles on Wednesday, and 2947 miles on Thursday. How far did he walk in all? 160 SUBTRACTION. 10° 152. 1. Mary had $ and spent $3. How much had she left? 2. From a lot containing of an acre of an acre was sold. How large a lot was left? -1=? 7-3=? 3. A boy paid $7 for his skates, but sold them for $1 less than he paid for them. What did he get for them? 4. If I have $ and spend $ how much will I have left? 5. A girl paid $3 for a grammar and $ for a geography. How much more did she pay for the geography than for the grammar? 6. A lad hoed of a field of corn. If he hoed of the field in the forenoon, how much did he do in the afternoon? 7. What must be done to dissimilar fractions before they can be subtracted? WRITTEN EXERCISES. 154. 1. From subtract 3. 3 EXPLANATION. Since the fractions are {1 − 1 = 34 — 23 = 44 not similar they must be made similar before subtracting. The least common denominator of the given fractions is 44. = 34 and 3 = 33 = 44. 2. From 4 subtract 25. 8 41 = 4,4 2=21 117 EXPLANATION. -= Since the numbers are composed of integers and fractions, the integers and the fractions may be subtracted separately. The fractions must be first reduced to similar fractions. It is evident that 1 cannot be subtracted from, hence 1 or 24 is taken from 4 and united with the 4, making 34. 14 from 3 leaves, and 2 from 3 (the number left after 1 has been united with the fraction) leaves 1. Hence the remainder is 117. RULE. Reduce the fractions to similar fractions. Find the difference between the numerators and write it over the common denominator. When there are mixed numbers or integers, subtract the fractions and the integers separately. Mixed numbers may be reduced to improper fractions and subtracter according to the first part of the rule. 54. 7 3 50.34 +213 +34 +352 +61. 51. 564-335-38+78. 52. 8층-31 +2층 - 2층 +3. 53.9134-37-15 — 23. +25-35-43 +34. 48. o 秀+ - 香 56. 76-35 +813-53 +9. 49. 5 21 ‡ + §−2+ · 57. 6 +45 +83-45-45. 58. A piece of flannel containing 25 yards shrank 1 yards in dyeing. How much did the cloth then measure? 59. From a lot containing 18 of an acre of land, I sold of an acre to one man, and 3 of an acre to another. How much land had I left? 60. If 193 yards are cut from a piece of cloth containing 4217 yards, how many yards will be left? 61. A boy gave 183 cents for a slate, 62 cents for a book, and 37 cents for some paper. How much change should he receive if he gave in payment a two-dollar bill? 62. If 6 is added to each term of, is the value of the fraction increased or diminished, and how much? 4. How much is of of an acre?of of an acre? 6. How much is of of a foot?of of a foot? out. What part of the amount the cistern would hold was drawn out? 13. Mr. Ames, who owned a lot containing of an acre, sold of it. What part of an acre did he sell? 14. If he had sold of it, what part of an acre would he have sold? of $ = ? 10 3/ 15. A man's farm was such that of it only was tilled. He sold of that part. 4 What part of the farm did he sell? |
