11. 14-137 years, or 14 years, 1 month, 29 days. 12. 0.06085, or 6 per cent. nearly. 13. 11.8956 years, or 11 years, 10 months, 22 days. 14. 18.854 years, or 18 years, 10 months, 7 days. 15. 14-2067 years, or 14 years, 2 months, 14 days 16. $644-781. 17. 83310. 18. 0.03205. 19. 26.91 years, or 26 years, 10 months, 28 days. ART. 172. 1. Performed. 2. $3558·094 ART. 173. SECTION LX. 1st 2d and 3d performed. 4. $7686-22. 5. $7857.98. 6. $1169.84. 7. 19-387 years, or 19 years, 4 months, 19 days. MISCELLANEOUS QUESTIONS 1. A $948, B $1896, C $2844, D $4740. 2. 3 yards at 9s.; 5 yards at 7s. 25. 17 and 8. 26. 24s. 27. 53. 28. A $20; B $50. 29. Greater 79; less 35. 30. A £300; B £350. 31. Length 20, breadth 18 feet 32. A $1; B $1; C $2. 33. 15 and 12. 34. 10 and 8. 35. 12 and 19. 36. 8 and 15. 37. 40 sheep. 38. A £10; B £20; C £30; D £40. 39. A 6, B 5 miles per hour. 10. 93. 11. 8 hours. 12. 6 hours, or 31 hours. 13. 3 and 243. 14. A 204, B 200 acres. 15. 5 and 4. 46. 36 and 24. 17 Breadth 100, length 150 feet. 48. 12 and 10. 19. Breadth 40, length 50 rods. 50. 16 and 9. 51. 6 and 4. 52. 18 and 6. 53. 3 and 5. 54. 5 and 9. 55. 81 scholars. 56. 23. 57. Depth of 1st 4 feet, that of 2d 5 feet. 58. 8. 59. 25. 60 Court 30 by 19 feet; height of fence 4 feet. 61. 12 yards. 62. 150 miles. 63. 25. 64. A $200; B $300. 65. 9 and 15. 66. 741. 67. A $81; B $41; C $21; D $11; E $6. Explanation. Let v, w, x, y, and z represent the money of A, B, C, D, and E, respectively, when they began to play; and let S represent the known amount of their money, which is 5. 32 or $160. In the first game A loses the whole amount minus his own share, or S-v; he will therefore have left v -(S-v), or 2 v S. After this his money is doubled four times; he will then have 32 v 16 S; this must be equal to $32 or S. Hence, 32 v - . B, in the first game, doubles his money; he will then have 2 w; in the second game he loses S-2 w, and will have left -S. Afterwards his money is doubled three times; he will then have 32 w-8 S. Hence, 4 w |