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Baltimore, July 19, 1842. Mr. John Kimball,

Bought of Simon Grey, 14 oz. Gum Camphor,

at $ 0.63. Laudanum,

.88.
23“ Gum Elastic,

.62.
16 “ Emetic Tartar,
17 " Cantharides,

2.25.

$ 92.21. Received payment,

Simon Grey,

by Enoch Osgood.

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1.27.

New York, May 20, 1842. Dr. John Smith,

Bought of Somes & Gridley, 82 galls. Temperance Wine, at $.75. 89 Port,

do.

.92. 24 pair Silk Gloves,

.50.

$ 155.38. Received payment,

Somes & Gridley.

12 66

Newburyport, March 7, 1842. Mr. Levi Webster,

Bought of James Frankland, 6 lbs. Chocolate,

at $.18. Flour,

.20. 6 pair Shoes,

1.80. 30 İbs. Candles,

.26.

$ 22.08. Received payment,

James Frankland.

Salem, May 13, 1842. Mr. Noah Webster,

Bought of Ayer, Fitts, & Co.
80 pair Hose,

at $ 1.20.
17
Boots,

3.00.
19 Shoes,

1.08.
23
Gloves,

.75.

$184.77. Received payment,

Ayer, Fitts, & Co.

by William Summers.

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Baltimore, June 30, 1842. Mr. Samuel Osgood,

Bought of Stephen Barnwell, 27 Young Readers,

at $.20. 10 Greek Lexicons,

3.90. 7 Ainsworth's Dictionaries,

4.75. 19 Folio Bibles,

2.93 20 Testaments,

.37.

$ 140.72. Received payment,

Stephen Barnwell.

Philadelphia, August 1, 1842. Mr. Elias Smith,

Bought of Timothy Eaton, 49 yds. Calico,

at $.30. 46 Irish Linen,

2.56. 140 ps. Nankin,

2.91. 169 yds. Pongee Silk,

2.00. 153 Blue do.

1.37.

$ 1087.47. Received payment,

Timothy Eaton.

G

London, June 19, 1842. Mr. Edward Snow of Lowell, U. S.

Bought of Smith, Davis, & Co.
241 yds. Red Broadcloth, at 16s. 4d.
412 Blue do.

8s. 9d.
510 White do.

6 13s. 5 d.
424 Green do.
Black Velvet,

" 12s. 81d.
349 Black Kerseymere, " 17s. 64d.
648 Carpet,

“ 14s. 91d.

£ 1919. 18s. 91d. Received payment,

Smith, Davis, & Co.

by Thomas Vance.

- 14s. 64d.

169,"

Section 19.

FRACTIONS.

MENTAL OPERATIONS.

The pupil must carefully commit all the definitions on page 77, before he commences mental operations. 1. If an apple be divided into two equal parts, one of

those parts is called a half, and is written thus, . 2. If an apple be divided into three equal parts, one of those parts is called a third, and is written thus, . 3. Two of those parts are called two thirds, and are writ

ten thus, s. 4. If an orange is divided into four equal parts, one of those parts is called a quarter, and is written thus, . Two of those parts are called two fourths, and are written thus, \, or thus, L. 5. Three of those parts are called three quarters, and

are written thus, . 6. One is what part of two ?

Ans. . 17. One is what part of three ?

Ans. š.

Ans. .

8. One is what part of four ? Ans. 1. What part of 5 ? 9. Two is what part of 3 ? 10. What part of 5 is 2 ?

Is 3 ? Is 4 ? Is 6 ? Is 7 ? 11. What part of 7 is 2 ? Is 3 ? Is 5? Is 6 ? 12. What part of 11 is 4 ? Is 5 ? Is 6 ? Is 7? 13. What part of 19 is 5 ? Is 11 ? Is 13? Is 17 ? 14. When corn is 7 shillings a bushel, what part of a bushel could you buy for 1s. ? For 2s. ? For 5s. ? 15. When flour is $ 9 per barrel, what part of a barrel

could be bought for $2? For $3? For $7 ? 16. If t of a barrel of flour cost $ 2, what will cost ? What will ? What will &? What will ? 17. If Lof a cwt. of sugar cost $ 14, what will cost ? 18. What will cost ? ? ? ? ? ? 19. If It of a pound of tea cost 35 cents, what will it

cost ? ? ? ? ? 11 ? 20. If y of a yard of cloth cost 30 cents, what will is

cost ? What will is cost ? ? ? ? 73? 13? 21. If of an acre cost $ 28, what will j cost? What

will an acre cost ? 22. If of a share in a railroad be worth $ 36, what is

+ worth? What is the value of a whole share ? 23. When of a share in a factory cost $ 60, what is

the value of li ? What is the value of a whole share ? 24. Gave $ 21 for of a yard of broadcloth, what cost

* of a yard? What cost a yard ? 25. Webster paid $8 for of a chest of tea; what would

of a chest cost ? What would } of a f cost ? What

of a į cost ? 26. When of a ton of iron is sold for $ 32 ; what is

the cost of it? Of 1 of į? Of į of i'ı ? 27. Peter Jones paid $ 16 for 15 of an ox; what cost is of the ox, and what did Richard Martin pay for } of a it? What did S. Ayer pay for a of a 15? 28. Paid John Atwood $ 128 for of his farm ; what is the value of }, and what must J. Kimball pay for 4 of a 3? What is the value of the whole farm ? 29. D. Webster bought of a saw mill, for which he paid $ 300.

What was the value of the whole mill ? What is the value of 4 of the mill ? Of 4 of 7 ? Of } of 4 of 4 ? 30. 15 is of what number ? Is $? Is ? Is it

?

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31. 21 is of what number? Is? Is %? Is Pr? 32. 30 is it of what number ? Is $? Is ? Is ? 33. 14 is ig of what number? Is ? Is şi ? Is ? 34. 12 is 3 of what number? Is it ? Is < ? Is } ? 35. 18 is 1 of what number? Is it? Is 13

?

? 36. Samuel Page sold a pair of oxen for $ 48, which was

& of their cost. What did he lose ? 37. Bought a horse for $ 72, which was of his real

value ; what did I gain ? 38. 72 is of what number? 39. Sold a quantity of depreciated money for $81, which

was is of its nominal value ; what was the sum sold ?. 40. Having improved a chaise 15 years, it was sold for $ 25, which was only is of what it cost. What was the original price? 41. A Loafer shot at a flock of pigeons on a tree, and killed 24, which was of the number. How many pigeons will remain on the tree?

Section 20.

VULGAR FRACTIONS.

Fractions are parts of an integer.

Vulgar Fractions are expressed by two terms, called the Numerator and Denominator ; the former above, and the latter below a line.

Thus ;

Numerator 1.

Denominator The Denominator shows into how many parts the integer, or whole number, is divided.

The Numerator shows how many of those parts are taken. 1. A proper fraction is one whose numerator is less than

the denominator , as 4. 2. An improper fraction is one whose numerator exceeds,

or is equal to, the denominator ; as 13 or g. 3. A simple fraction has a numerator and denominator only ; as, Y.

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