36. If the number of acres in a certain town is 12,935, and the total valuation of real estate is $714,200, what is the average value of real estate to the acre?

Ans. $55.21+.

37. What is an auctioneer's commission for selling goods to the amount of $16000, at 24 per cent.?

38. A farmer divided his real estate, consisting of 113 A. 3 R. 25 P., equally among his 9 children; how many acres did each receive? Ans. 12 A. 2 R. 25 P. 39. How much wood is contained in a load 8 feet long, 3 feet wide, and 5 feet high? Ans. 1 C. 26 cu. ft.

40. If of a ship cost $35000, what is

of it worth?

Ans. $20000.

41. How many yards of cloth 14 yards wide will line 16 yards Ans. 44 yards.

of a yard wide?

42. Bought a horse for $125, but not proving as good as expected, I sold him for $110; what was the loss per cent.? Ans. 12 per cent.

43. Bought a house for $3600, and sold it at a loss of 7 per cent.; how much did I obtain for it? Ans. $3348. 44. Required the interest on $27.60 for 6 years, 6 months, and 6 days, at 6 per cent. Ans. $10.791+.

45. If the interest of $350 for 1 year is $21, what is the interest of $250 for the same time?

46. What number multiplied by 121 gives 1000?

47. What number divided by 7 gives 110?

48. If I buy corn for 50 cents a bushel, and sell it at an advance of 20 per cent., how many cents do I gain per bushel?

REVIEW. Reduction Ascending? (117.) What is a simple Number? (119.) A Compound Number? (120.) A Factor? (130.) Factoring? (131.) Cancellation? (135.) Analysis? (137.)

49. The sum of two numbers is 93, and one of them is 11; what is the other?

50. If I buy corn for 60 cents a bushel, and sell it at a loss of 20 %, what do I get a bushel for it?

51. Of a certain pole, 5 feet stands in earth, 10 feet in water, and above water; what is the length of the pole? Ans. 25 feet.

52. What fraction is that to which if you add the sum will be ?? Ans. 53. How many rectangular blocks, 14 feet wide and 2 feet long, will pave a cellar floor 15 feet wide and 16 feet long? Ans. 80 blocks. 54. When the dividend is 17.28, and the quotient 14.4, what is the divisor? Ans. 1.2. 55. When the dividend is .001, and the quotient .000001, what is the divisor? Ans. 1000. 56. Bought a horse, and paid $72 down, which was fr of the price; what was the price? Ans. $132. 57. What is the interest on $600 for 6 months, at 71% per cent.?

6

58. Bought a cask of molasses, containing 65 gallons, for $26; for how much per gallon must I sell it to gain 121 per cent.? Ans. $.45.

59. What is the value of a pile of wood 36 feet long, 4 feet wide, and 6 feet high, at $6 per cord?

60. How many steps, of 2 feet 6 inches each, must a man take, in walking a mile? Ans. 2112 steps.

61. If the cost of of a farm be $3500, what is of it worth? Ans. $3000.

REVIEW. - What is a Fraction? (139.) A Common Fraction? (142.) A Decimal Fraction? (172.) From what is the term per cent. derived? (194.)

62. What is the value of a small rectangular farm, 72 rods long and 40 rods wide, at $50 per acre?

63. A frog, at the bottom of a well 15 feet deep, commenced going towards the top. In his journey he got up 3 feet every day, and fell back 2 feet every night; how many days did it take him to get out of the well?

64. What is the interest on a note of $500 from Jan. Ans. $10.986+.

28, to May 21, 1867, at 7 per cent.?

65. A man purchased a hat worth $5, and handed the merchant a $50 bill in payment; but the merchant, not being able to make change, passed it to a broker, and on getting it changed, he gave the purchaser of the hat his change. After the customer had left, the broker, finding the bill to be counterfeit, returned it to the merchant, and received good money for it. How much did the merchant lose by the transaction?

66. A farmer being asked how many sheep he had, said, "If you add to of the number, of § of it, and 5 sheep, you will have the number;" how many had he?

67. The population of the United States in 1860 was 31,000,000, and if the increase had been at the rate of 30 per cent. for the next 10 years, what would have been the population in 1870? Ans. 40,300,000.

68. A man gave of his property to his wife; of the remainder to his 3 sons, and the balance of what he had to his 5 daughters. The daughters received each $600. What was the entire property? How much did the wife and each son receive? Ans. Whole property, $9000; wife received $3000; each son, $1000.

REVIEW. - What is Commission? (198.) Profit and Loss? (202.) What is Interest? (205.) What is the Rule for finding the interest on any sum, for any rate? (209.)

APPENDIX.

METRIO SYSTEM.

221. The Metric System is so called from the meter, which is the unit from which all its weights and measures are derived.

It was authorized to be used in the United States, in 1866.

222. The unit of any measure being named, the names of the higher denomination are formed by prefixing to the unit name

These prefixes are pronounced respectively, děk'a, hěc to, kilo, mỹr'ia, děc'i, cén'ti, and mil'li.

MEASURES OF LENGTH.

223. The Meter, the unit of length, is one ten-millionth of the distance on the earth's surface from the equator to the pole.

Table.

10 millimeters (mm.) are 1 cen'timeter, cm.

Why is the Metric System so called? How are the names of the higher denominations formed? Of the lower denominations? What is the Meter? Recite the Table.

The meter is the unit of measure for all common lengths and distances, and is equal to 39.37 inches, or 3.28 feet.

The kilometer is taken as the unit in measuring very long distances, -as the length of roads, distances between cities, etc. It is equal to .62137 of a mile, or 3280 feet 10 inches.

A meter is about 3 feet, 3 inches, and 3 eighths of an inch, and a kilometer is about 200 rods, or g of a mile.

25 millimeters nearly replace the inch, 3 decimeters the foot, 5 meters the rod, > and 1600 meters the mile.

The nickel 5-cent pieces are each 20 millimeters, or 2 centimeters, in diameter; so that 50 of these coins, side by side in a straight line, will measure a meter. The scales in the margin exhibit, the one a decimeter or tenth of a meter, divided into centimeters and millimeters, and the other, four inches divided into eighths of an inch.

In the above Table, and in those that follow, the principal unit is designated by capitals, and other units, which are often used, by italics.

MEASURES OF SURFACE.

224. The Square Meter, the

Centimeters.

A DECIMETER.

principal unit for the measure of surface, is the square whose side is one meter.

Table.

100 sq. millimeters (mm2.) are 1 sq. centimeter, cm2.

100 sq. centimeters,

1 sq. decimeter.

100 sq. decimeters,

1 sq. METER, m2.

To what is the Meter equal? The Kilometer? About how much is a Meter? What is the Square Meter? Recite the Table.