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BOSTON:
NICHOLS & HALL,

32 BROMFIELD SRTEET.

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

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

44973

KE Y.

[ 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; calf $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 TI.

ART. 7.

1. Performed.
2. Ist $23000; 2d $33000.
3. 731 and 1563 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 212

3. Ist 10s.; 2d 78.; 3d 8s.; 4th 58.; 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.

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