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137. If a man can save $15 in each of the 12 months of a year, in how many years can he save enough to amount to $2520 ?

138. The product of two factors is 96000, and one of the factors is 150. What is the other factor?

139. Bought a quantity of boards for $2650, and sold the same for $3286, and thereby gained $6 a thousand feet. How many thousand feet were there?

140. The product of three factors is 33600. Two of the factors are 15 and 35. What is the third?

141. Texas contains 274400 square miles and Massachusetts 7800. How many States of the size of Massachusetts might be made out of Texas, and how many square miles over?

142. If the divisor is 350 and the dividend 262500, what is the quotient?

143. A man bought 164 acres of land for $80 an acre, and sold a part for $4480, at the same rate. How many acres had he then left?

144. If the dividend is 71142 and the quotient 1002, what is the divisor?

145. A man exchanged 159 cords of wood at $5 a cord, for a horse valued at $144, and the balance in sheep at $3 apiece. How many sheep did he receive?

QUESTIONS.

63. What is division? 64. What is the dividend? 65. The divisor? 66. The quotient? 67. The remainder?

68. What is the sign of division? 69. What is a parenthesis, or vinculum, used to include?

71. What are principles of division? 72. What is a general principle of division?

73. How are the numbers written for dividing? How do you divide? How is a final remainder written? 74. What is the proof of division ?

REVIEW.

ORAL EXERCISES.

76. 1. What number added to 18 will make 27 ?

2. John had 37 cents. He gave 7 to his brother, and shared the remainder equally with his two sisters.

was his share?

What

3. A farmer had 18 chickens. The foxes killed 3 and he sold 7. How many has he left?

4. Thomas gave 17 cents for a whip, 13 cents for a slate, 12 cents for a copy-book, and 10 cents for pencils. How much change did he receive from a dollar bill?

5. (5 x 65) (147) = ?

6. John had 30 marbles. He lost half of them and then gave away 5. How many had he left?

7. A man had $57; he lost at one time $5, and at another $10. How many had he left?

8. Bought 7 tons of coal at $8 per ton, and gave in payment 2 twenty-dollar bills and 2 ten-dollar bills. How much change should be received back?

9. I have 3 bags of nuts. There are 2 bushels in each bag. What is the whole worth at $3 a bushel ?

10. George had in a basket 41 apples. He gave 5 to Susan, 7 to Lucy, and 6 to Henry. What is the value of those left at 2 cents each ?

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19. Two men start from the same place and go in the same direction; one travels at the rate of 5 miles an hour, and the

other at the rate of 9 miles an hour. How far apart will they be in 12 hours?

20. A steamboat can run 10 miles an hour down stream, and 8 miles up stream. After running down stream 4 hours, how long will it be in returning?

21. If you should earn $ 60 in 10 weeks, and pay of your earnings $3 a week for board, how much will your net earnings be?

22. William had 98 peaches. He gave 18 to his brother, and shared the remainder equally with 9 others. How many did he give away in all ?

23. If 6 men can do a piece of work in 8 days, in how many days can 4 men do it?

24. In what time can 6 men excavate a cellar, which 14. men can excavate in 3 days?

25. If 15 men can build a wall in 10 days, in what time can 25 men do it?

26. If 9 barrels of flour are worth $ 81, what are 7 barrels worth?

27. When 24 pounds of coffee can be bought for $ 6, how many pounds can be bought for $8 ?

28. If a man can earn $96 in 8 weeks, in what time can he earn $60?

29. A man having $95 bought 5 coats, and had $20 left. What did the coats cost apiece?

30. Two men start 132 miles apart and travel toward each other, one at the rate of 6 miles an hour, and the other at the rate of 5 miles an hour. How many miles must each travel

before meeting?

31. A cistern can be emptied in 16 minutes by 5 pipes. In what time can it be emptied by only 2 pipes?

32. A and B start together and travel in the same direction, A traveling 21 miles a day and B 27 miles. When they have traveled 9 days, how much less than 60 miles are they apart?

WRITTEN EXERCISES.

33. The area of Illinois is 55405 square miles, and of Arkansas 52198 square miles. How many square miles is Illinois larger than Arkansas?

34. The minuend is 74760, and the subtrahend 34943. What is the difference?

35. The difference between two numbers is 4004, and the greater number is 5496. What is the smaller?

36. A man had $ 5000. He expended for a stable $ 2560.75, and for a horse and carriage $ 375.87. What had he left?

37. The multiplicand is 664 and the multiplier 19. What is the product?

38. Six men bought some property for $ 5670 and sold it for $7896.84. What was each man's share of the gain?

39. A merchant bought 3 casks of sugar, each weighing 255 pounds, at 9 cents a pound, and sold it at 11 cents a pound. How many dollars did he make?

40. A man sets out to travel 223 miles at the rate of 27 miles a day. When he has gone 61 miles, in how many days can he finish the distance?

41. What is the cost of 365 parlor organs at $ 97 each? 42. The divisor is 48, the quotient 596, and the remainder 10. What is the dividend?

43. Expended in goods $42.57, buying 17 yards of cloth at 15 cents a yard, 46 pounds of coffee at 28 cents a pound, 16 gallons of molasses at 76 cents a gallon, and 107 pounds of confectionery. How much was the confectionery a pound?

44. Bought 310 tons of coal for $1472.50 and sold it for $1549.60. How much did I make a ton?

45. Bought two lots of land; the first containing 144 acres at $12 an acre, and the second 108 acres at $15 an acre. I sold both lots at $18 an acre. What was the gain per acre? 46. The multiplicand is 407, and the product 10989. What is the multiplier?

47. Bought 288 barrels of flour for $1728, and sold it at a profit of $576. What did I get a barrel for it?

48. A gentleman bought a house for $ 5100, and farm stock to the amount of $715.80. He paid at one time $2013, and at another $1981.95. How much remained to be paid?

49. (194 + 65) × 7 + 352220 952=?

50. Bought 500 barrels of flour at $5.75 a barrel, 47 hundred-weight of cheese at $9.25 a hundred, and 15 barrels of pork at $21.50 a barrel. What was the amount of the whole? 51. Bought molasses for $ 9212, and sold it at $67 a hogshead, and gained $ 20. How many hogsheads were there?

52. A cargo of 125 tons of coal was bought by the long ton of 2240 pounds, and sold by the short ton of 2000 pounds. How many long tons was the gain?

53. I have $2973. I wish to invest it in as many horses as I can at $150 each, and the remainder in a carriage. How many horses can I buy, and what can I pay for the carriage? 54. 271549 (21287) x 2 what? =

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55. (19465) × 7+ (352 – 220)÷ 11 - 952 ÷ (91–35) =?

56. A man bought 360 acres of land at $45.50, and paid down $1368. He sold 125 acres at $63 an acre, and made another payment. How much did he then owe for the land?

57. The product of three numbers is 40800. One of the numbers is 150, and another 16. What is the third number? 58. The dividend is 18988 and the quotient 25,13. What is the divisor?

59. If I have a garden 320 feet long and half as wide, how many times must I walk around it to travel 100 miles of 5280 feet each?

60. A man has $1496, which he wishes to lay out in purchasing cows and oxen, an equal number of each. If he should pay $ 37 for each cow and $ 51 for each ox, how many of each can he buy?

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