2.-Four families reside in one house; one family consists of nine persons, one of eight, one of seven, and one of eleven; how many persons are there in all?

Give the process.

3.-If I purchase one acre of land for thirteen dollars, another for fourteen, another for ten, and another for nine, how many dollars do I give for the whole ?

Give the process.

4.-In a certain school eleven scholars study arithmetic, fifteen grammar, five geography, and six study philosophy; how many are there in all these classes ?

Give the process.

LESSON TWENTY-SEVENTH.

1. Nine and two are how many? 2. Nine and three are how many? 3. Nine and four are how many? 4. Nine and six are how many? 5. Nine and nine are how many? 6. Nine and ten are how many?

Ten and ten are twenty. Nineteen is one less than twenty, and nine is one less than ten; therefore nine and ten are nineteen.

7. Nineteen and nine are how many? 8. Twenty-nine and nine are how many? 9. Thirty-nine and nine are how many? 10. Forty-nine and nine are how many? 11. Fifty-nine and nine are how many? 12. Sixty-nine and nine are how many? 13. Seventy-nine and nine are how many? 14. Eighty-nine and nine are how many? 15. Ninety-nine and nine are how many?

LESSON TWENTY-EIGHTH.

1. Seven and nine are how many? 2. Seventeen and nine are how many? 3. Twenty-seven and nine are how many? 4. Thirty-seven and nine are how many? 5. Nineteen and seven are how many? 6. Twenty-nine and seven are how many? 7. Twenty-five and nine are how many? 8. Twenty-nine and five are how many? 9. Thirty-five and nine are how many? 10. Thirty-nine and five are how many? 11. Thirty-nine and nine are how many? 12. Thirty-five and nine are how many? 13. Eighty-nine and nine are how many? 14. Forty-four and seven are how many?

LESSON TWENTY-NINTH.

1. Forty-five and six are how many? 2. Forty-six and seven are how many? 3. Forty-eight and eight are how many? 4. Forty-nine and nine are how many? 5. Fifty-five and five are how many? 6. Fifty-six and six are how many? 7. Fifty-eight and eight are how many? 8. Fifty-nine and nine are how many? 9. Fifty-four and nine are how many? 10. Sixty-three and five are how many? 11. Sixty-six and seven are how many? 12. Sixty-seven and eight are how many? 13. Sixty-eight and six are how many? 14. Sixty-nine and four are how many?

SECTION II.

LESSON FIRST.

Teacher. One and one are how many?
Scholar. Two.

T. Then one from two how many remain?

S. One.

T. How do you know?

S. One and one are two, therefore one from two leaves one.

T. Two and one are how many?

S. Three.

T. Then one from three, how many remain ?

S. Two.

T. How do you know?

S. Two and one are three, therefore one from three leaves

T. Are the questions in this lesson similar to those in the

preceding lessons ?

S. They are not.

T. In what respect do they differ?

S. They are the reverse.

T. Illustrate what you mean by "the reverse."
S. If, when we have added two to three, which are five,

we take two from five, we reverse the process.

T. What is the latter process called ?

S. Subtraction.

T. What, then, is Subtraction?

S. It is finding the difference between two numbers?

LESSON SECOND.

QUEST. 1.-Mary had two cents, and she gave away one

of them; how many had she left?

One from two, how many remain ?

How do you know?

2.-James had three cents, and he gave away one of

them; how many had he left ?

One from three, and how many remain?

How do you know?

3.-Jane had four cents, and she gave her sister two of

them; how many had she left ?

Two from four, and how many remain?

How do you know ?

4.-Julia had five apples, and she gave her sister two of

them; how many had she left ?

Two from five, and how many remain?

How do you know?

5.-Joseph had six apples, and he gave away three of them;

how many had he left?

Three from six, and how many remain ?

How do you know?

LESSON THIRD.

QUEST. 1.-John had seven peaches; he gave away three

of them; how many had he left?

Three from seven, and how many remain?

How do you know?

2.-Charles had eight cents, and he gave away three of

them; how many had he left ?

Three from eight, and how many remain?

How do you know?

3.-Thomas had nine nuts, and he gave away four of

them; how many had he left ?

Four from nine, and how many remain?

How do you know?

4.-William had ten apples, and gave away five of them;

how many had he left ?

Five from ten, and how many remain ?

How do you know?

5.-George had eleven dollars, and he gave away five of

them; how many had he left ?

Five from eleven, and how many remain ?

How do you know?

6.-Isaac had twel, e doves, and he gave away six of them;

how many had he left ?

Six from twelve, and how many remain?

How do you know?