6. Whole mixture 32 oz. 12 oz. gold; 16 oz. silver; 34 oz. copper.

7. Whole estate $22500. Wife's portion $6500; eldest son's $6500; 2d son's $5750; youngest son's $3750.

8. 80 years.

9. A's 40; B's 30 years. 10 30 inches. 11. 72. 12. $150. 13. $75. 14. 1st 30 cents; 2d and 3d 15 cents each. 15. Whole number 30. The 1st had 10; 2d 6; 3d 4; 4th 10 16. 1st horse $100; 2d horse $150; chaise $300. 17. Income $1200; he spends $650. 18. 45 sheep. 19. Ist 56; 2d £35; 3d £7. 20. 280 miles in all. 40 miles 1st day; 56 2d day; 70 3d day.

SECTION V.

ART. 13.

1st, 2d, 3d, performed.
4. A $300; B $200.
5. Man 40; woman 30 years.
6. Man's age 50 ; woman's 45 years.
7, 450,

8. From A to B 40 miles; from B to C 60 miles; from A to C 100 miles,

9. 1st 105 yds; 2d 120 yds; 3d 135 yds. 10, Each has £150. 11. 100 yards. 12. Each has $140, 13. A $350; B $400; C $475. 14. 30 cows; 60 sheep.

15. $40.
16. $1000.
17. Cider $4; beer $6 per

barrel.
18. 54 and 60.
19. Shorter 20 rods; longer 40 rods.
20. Chaise $2331; horse $1664.
21. $100.
22. 1st car 18 miles; 2d car 20 miles per hour.
23. $150.
24. $110.
25. 139.

SECTION VI.

ART. 15.

1. Horse $150; chaise $250.
2. 80 gallons.
3. Greater 35 ; less 25.
4. Performed.
5. 20 tons.
6. $72.
7. Greater 75; less 72.
8. 100 gallons each.

9. 90 eggs.

10. Time past 40 years. 11. Lower, middle and upper parts respectively, 12, 16 and 20 feet. Whole pole, 48 feet. 12. 20.

SECTION VII.

ART. 17.

1. 14 abcm. 2. 845 c.

3. 21 abıy.
4. 24 a par.

3. 18 ab +500 +5 m2 + 4cm.
4. 13 ao 12 + 8 m2 - 18 mn +36+4xy.
5. 16bc-3ab +5ac+ 12 cd +4mn + 10 an.
6. 8a-86+0–17d+25.
7. -8a+60-109d+31 e - 10f+g.

8. 17 a® b-13 a b - 10 ab + 18 c3d-10 d4 - 12 mont 11 m na tmn.

9. 823 + 1463 762_8cm? — 32 + 132—9hy? - 2 k ya 5ky 9hy +7p ya.

SECTION X.

ART. 27.

1st, 2d, performed.
3. 3 ab- 2 c2 + 36 c.
4. – 6ac-6 ab +9bc+7cd-12 a m.

5. 8m - 6x-f-3d-8. ART. 28.

1. 18 a -6bc+10 x2 - arth-6.
2. 10 a 23 - 36 a 12 +49 a 2-6 a4.
3. 26 ab-1862 +2662 +c- mér + 47.
4. 7 aRxy-8622 y + 30 czy? - 29 y.

5. 1822 y2 + 482y +462c2 +cd3 + c3d+m. ART. 29.

1. am-(bc-dm).
2. abc-d-(3my - xy).
3. a+b-(c+d).
4. a? + 12 +2 ab-(a+b).
5. 4m2 + 12 mn +9n3—(2m+ 3n).
6. 4 ab +7 am—(22 - y2).
* 7mn +32-(P9--y3).

SECTION Xl.

Art. 31.

1st, 2d, 3d, performed.
4. 2 a2 +5 a— 12.
5. a4 +464

6. 37 a? b c2 - 12 al c4 + 22 a c4 d- 21 al 62 - 26 ab c d2 -8c4 24.

7. 126 a® (2 + 30 a b c -36 62 c2 + 108 a cxy? - 28 acuy +33 a3c3+72bcxy?+ 12bcrly-246 03---24 x3 y3+2 cry + 36 c2 x y2 — 3 c4.

8. 3 a6b-10 a5 12 +17 a4 13 — 17 a3 84 +8 a 15-a 66

9. 42 65 — 21763 — 11 12c3+8bc4 - 29. ART. 32.

1. a + ab- 2 a b2 – ac+bc.
2. a4 - 4 a452 +8 a 13 - 4 04.
3. m8
4. 2 ao b +212c +2c3.
5. 7 23 + 2 y - 12 x yo - 6 y3.
6. 10 a cx+ 2 a{ c+5 abc + 2 x to 6 a +8b.
7. 4 abc+2 ad +212 d.

8. 4 a x2-4 ary+ac+4 br? - 4b xy +bc-a3cm - a cry + adam ta d2 x y -- acma-c2x2y+ao da mu + d 22 y.

9. 13 13 cx—8 62 c3 x2 + 18 c5 r. 10. 112b-4bx + ab + 448 -16x + 14 a + 6 albc7 a? c?.

-18.