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bushel, required how much of each sort to make a mixture worth 70 cents a bushel?

Answer, 35 bushels at 40 cents, 30 at 75 cents, and

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Proof-As 95 bushels, or simples, are to 6650 cents; so is 1 bushel to its value.

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NOTE.-When more differences than one happen against any simple, as at 40, then such differences must be added together, as 5 + 30 = 35.

Many and various operations may be wrought in Alligation Alternate, and Alternation Total; but these examples must suffice for an introduction.More useful matter claims a preference, and the want of room forbids the insertion of several curious subjects.

END OF PART EIGHTH

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Units, Tens, Hundreds ;

Units, Tens, Hundreds, Thousands;

Units Tens, Hundreds, Thousands, Tens of Thou

sands;

W

Units, Tens, Hundreds, Thousands, Tens of Thousands, Hundreds of Thousands;

Units, Tens, Hundreds, Thousands, Tens of Thou sands, 100 of Thousands, Millions;

Units, Tens, Hundreds, Thousands, Tens of Thousands; 100 of Thousands, Millions, Tens of Millions;

Units, Tens, Hundreds, Thousands, Tens of Thousands, Hundreds of Thousands, Millions, Tens, of Millions, Hundreds of Millions.

One:

Twelve:

NUMERATION TABLE, No. 1.
See page 41.

One Hundred and Twenty-three:

One Thousand, 234:

Twelve Thousand, 345:

123 Thousand, 456:

One Million, 234 Thousand, 567:
Twelve Million, 345 Thousand, Six
Hundred and 78:

One Hundred and 23 Million, 456
Thousand, 789:

1 12

123

1,234

12,345

,123,456

1,234,567

} 12,345,678

},123,456,789

1

NUMERATION TABLE NO. 2...

This table is inserted for scholars to look at occasionally after they have studied that on Card No. 7. But, as these high numbers are of but little use, students may employ themselves in contemplating on subjects of greater importance.

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1

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0 1 0, 1 0 1

11

12

13

14

15

16

17

18

19

20

21

22

1 0, 1 0 1
1 0 1,010; 1 0 1,0 1 0
1; 0 1 0, 1 0 1; 0 1 0, 0 1
1 0 1,010; 1 0 1,0 1
0 1 0, 1 0 1; 01 0,10 1
1 0 1,010; 1 0 1,010
0 1 0, 1 0 1; 01 0, 1 0 1
1 0 1,010; 1 0 1,0 10
010, 101; 01 0, 1 0 1
1 0 1,0 10 ; 1 0 1,0 1 0

10
1 0 1
1,0 10;
1 0, 1 0 1
1 0 1,010;
; 01 0, 1 0 1;
10; 1 0 1,0 1 0
101; 0 1 0, 1 0 1; 0 1 0, 101; 0 1 0, 1 0 1
1, 010; 1 0 1,010; 1 0 1,010; 1 0 1,01 0
1 0, 10 ; 010, 101; 0 1 0, 101; 0 1 0,10 1
0,1 0 1,010; 1 0 1,010; 1 0 1,010; 1 0 1,010

23

24

In the first place say one; in the second ten; in the third one hundred and one ; in the fourth one thousand and ten; in the fifth ten thousand one hundred and one; in the sixth one hundred and one thousand and

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