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62. How many pounds of potatoes, at 20 cents a peck, can be bought for $8.60?

63. How many days will it take to count a million of dollars, at the rate of a hundred a minute?

Ans. 6 d. 22 h. 40 m. ▾

64. How many cords in a pile of wood 9 feet long, 8 feet high, and 4 feet wide? Ans. 2 c. 2 c. f.

65. A pile of wood is 4 feet wide, and 4 feet high; how long must it be to contain 2 cords? Ans. 16 feet.

Here, the product of the length, width, and hight is equal to the number of cubic feet in 2 cords, or 128 cu. ft. X 2, which is 256 cu. ft.; and if we divide the 256 by the product of the width and hight, which is 16, we have the length required.

66. How high must a range of wood, 20 feet in length and 4 feet wide, be piled to make 5 cords?

Ans. 8 feet.

67. How many times will a wheel 18 ft. 4 in. in circumference turn, in going 100 miles?

Ans. 28800 times.

68. How many loaves of bread can be made from 1 barrel and 4 pounds of flour, allowing 10 ounces to a loaf? Ans. 320. 69. How many shingles will be required to cover the side of a roof 30 feet by 20 feet, sand just cover 100 square feet?

allowing that 1 thouAns. 6 thousand. each may be saved

70. How many days of 10 hours for study, in 10 years of 365 days each, by rising 30 minutes earlier each day? Ans. 182 d. 5 h.

71. How much will 3 cords 7 cord feet of oak wood cost,

at $1 per cord foot?

72. How many weeks are there in 1000000 seconds?

Ans. 1 wk. 4 d. 13 h. 46 min. 40 sec.

COMPOUND NUMBERS.

119. A Simple Number is of a a single denomination; as, 5 dollars, 8 yards, 4 books.

120. A Compound Number is of two or more denominations of the same general nature; as, 5 dollars 50 cents; 4 yards 2 feet 6 inches; 12 hours 20 minutes.

The methods of adding, subtracting, multiplying, and dividing simple numbers apply, with some modifications, to compound numbers.

ADDITION.

121. 1. Let it be required to find the sum of 5 cwt. 2 qr. 10 lb., 2 cwt. 2 qr. 17 lb., and 10 cwt. 3 qr. 21 lb.

OPERATION.

cwt. qr.

lb.

5

2

10

2

2

17

10

3

21

Ans. 19

0

23

1, 3, 2, and

For convenience, we write the numbers so that denominations of the same kind stand in the same column, and begin at the right to add.

21, 17, and 10 lb. are 48 lb., which, reduced, gives 1 qr. 23 lb.; we write the 23 lb. and add the 1 qr. in with quarters.

qr. are 8 qr., which, reduced, gives 2 cwt. 0 qr.; we write the 0, and add the 2 cwt. with the hundred-weights.

2, 10, 2, and 5 cwt. are 19 cwt., which we write. Therefore the sum required is 19 cwt. 0 qr. 23 lb.

Rule. Write the numbers so that units of the same denomination shall stand in the same column.

Beginning at the right, add each column, and reduce the sum to the next higher denomination; write the remainder, if any, and add the quotient with the next column.

What is a Simple Number? A Compound Number? How do you write the numbers? How do you add? What is the Rule?

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19. What is the sum of 1 T. 5 cwt. 3 qr. 10 lb., 7 cwt. 20 lb., and 5 T. 3 qr.? Ans. 6 T. 13 cwt. 3 qr. 5 lb. 20. What is the sum of 4 yd. 2 ft. 6 in., and 5 yd. 1 ft. 11 inches? Ans. 10 yd. 1 ft. 5 in. 21. What is the sum of 9 oz. 18 pwt. 11 gr., 4 oz. 19 pwt. 20 gr., and 1 oz. 23 gr. ?

Ans. 1 lb. 3 oz. 10 pwt. 6 gr.

22. Two men leave the same place and travel, the one north 65 m. 5 fur. 30 rd., and the other south 82 m. 6 fur. 16 rd.; how far were they then apart?

Ans. 148 m. 4 fur. 6 rd.

23. A farmer raised in one field 103 bu. 3 pk. 2 qt. of corn; in a second 205 bu. 6 qt., and in a third 310 bu. 3 pk.; how much did he raise in all?

Ans. 619 bu. 3 pk.

24. A ship sailed 15° 50′ 50′′ at one time, and 31° 19′ 10", in the same direction, at another; how many degrees was it then from the place of departure?

SUBTRACTION.

Ans. 47° 10′.

122. 1. Let it be required to find the difference between 19 cwt. 2 qr. 17 lb., and 15 cwt. 3 qr. 15 lb.

17

OPERATION.

cwt.

qr.

lb.

19

2

15

3

15

Ans. 3

3

2

For convenience, we write the subtrahend under the minuend, so that denominations of the same kind stand in the same column, and begin at the right to subtract.

15 lb. from 17 lb. leaves 2 lb., which we write.

We cannot take 3 qr. from 2 qr., but we can take 1 cwt. from the 19 cwt., leaving 18 cwt., and the 1 cwt. taken is 4 qr., which added

How are the numbers written?

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