BY THOMAS SHERWIN, A. M.

Principal of the English High School, Boston.

BOSTON:

BENJAMIN B. MUSSEY & CO.

HARVARD COLLEGE LIBRARY

GIFT OF
Geng AC!!!!!!! PLIMPTON

24

Entered according to act of Congress, in the year 1842,

By THOMAS SHERWIN, in the Clerk's Office of the District Court of Massachusetts.

KEY.

[In the first edition of the Algebra, the Articles are numbered erroneously from the commencement of Section XXVI. To make that edition correspond with the Key, increase by 2 the number of each Article, commencing with the Section specified.]

SECTION I.

ART. 4.

1. Performed.
2. Horse $100. Saddle $10.
3. 6 bushels of each.
4. 11 of each.
5. 5 melons; 10 pears; 30 peaches.
6. 15 days. Man $20; boy $10.
7. 105, 210, and 315.
8. 25, 35, and 40.
9. 10 hours. One

goes 80 miles, the other 70 miles. 10. Ist 8, 2d 16, 3d 24 guineas. 11. Wife $36000; elder son $27000; younger son $18000. 12. 120 cavalry; 360 artillerymen; 720 infantry. 13. A 8 days, 72 rods; B 16 days, 112 rods; C 80 days, 400 rods. 14. 8 yds, 16 yds, and 24 yds respectively. 15. Sheep $2; call $4; cow $20. 16. Greater 14 galls; less 7 galls. 17. Beef 10 lbs; mutton 20 lbs. 18. 32 of each. 19. 80 guineas; 240 crowns. 20. 10, 20, 30, 60 and 30 miles, on the respective days.

21. 8 bushels of each.
22. Cows $25, oxen $50 each.

SECTION II.

ART. 7.

1. Performed.
2. 1st $23000; 2d $33000.
3. 734 and 1569 miles.
4. A's 15, B's 35, C's 50 years.
5. Ist 8 lbs; 2d 22 lbs; 3d 30 lbs; 4th 60 lbs.
6. 6, 8, 10, 12, and 14 years respectively.
7. Black $30; green $32; blue $35.
8. A's 30, B's 20 years.

9. Each daughter $1000 ; younger son $2000; elder son $5000.

10. Performed. Art. 9.

1. 493 and 400 votes respectively. 2. 5 men; 20 boys; 180 girls. 3. 150 cavalry; 450 riflemen; 1700 infantry. 4. A $2750; B $8250; C $22000; D $32000. 5. A $377; B $7; C $107. 6. 10 years in France; 60 in England; 10 in America. 7. 1500 English; 900 Irish; 500 French. 8. 50 eagles; 90 half-eagles; 250 dollars. 9. Broadcloth 50; cassimere 144; silk 288 yards. 10. $2000. 11. A $10000; B $10600; C $20800; D $20300; E $30800. 12. 80 oxen; 215 cows; 215 calves ; 395 sheep. 13. 20 students; 55 merchants; 65 officers.

SECTION 1II.

ART. 11.

1. Performed.
2. Finer $6; coarser $4 per yard.
3. A's 50; B's 40 years.
4. 20 each.

5. Sum distributed 153d. Eldest 60d. ; 2d 42d. ; 3d 30d. ; 4th 21d.

6. 1st 10s.; 2d 7s. ; 3d 8s.; 4th 5s.; 5th 3s.; 6th 2s. 7. Smaller 40 galls. ; larger 80 galls. 8. Wheat 8s.; rye 6s. per bushel. 9. 45 scholars in all. He wished to place 7 in a row. 10. 10 lbs; 95 cents. 11. 10 shillings. 12. $60. 13. 22 years. 14. 12 years ago. 15. 150 sheep. 16. 8 days; 720 miles from the starting place. 17. Horse $200; chaise $275. 18. Wheat 8s.; oats 3s. 19. $1000. 20. 125 miles.

SECTION IV.

ART. 12.

1st, 2d, 3d, performed.

4. 60 years old. 20 years in Germany; 15 in France ; 24 in England.

5. Whole estate $5040. He owed his creditors respectively $630, $720, and $672.