Proportions and Percent Equations ALGEBRA 1 LESSON 4-3 pages 200–202 Exercises 1. 50% 2. 25% 3. 33 % 4. 20% 5. 25% 6. 20% 7. 8 8. 16 9. 21 10. 28 11. 10 12. 20 13. = , 50 14. = , 25 15. = , 160 16. = , 240 17. = , 70 18. = , 140 19. 30 h 20. 50 = 0.25x; 200 21. 25 = 0.50x; 50 22. 96 = n • 150; 64% 40 100 80 15 20 60 30 x 24 48 42 23. 45 = n • 60; 75% 24. x = 0.05(300); 15 25. x = 0.05(200); 10 26. 21 27. 200% 28. 4 29. 300% 30. 0.42 31. 0.3% 32. 200 33. 100 34. 22 1 3 4-3
Proportions and Percent Equations ALGEBRA 1 LESSON 4-3 35. 150 36. 68 37. 32 38. about 960 students 39–40. Proportions or equations may vary. Samples are given. 39. = , 4 40. = , 400% 41. x = 0.002(900), 1.8 42. 0.02x = 1.8, 90 43. 1000x = 988, 98.8% 44. 1.4(84) = x, 117.6 75 100 3 x 300 45. 62; 50% is 61 and 51.3% > 50%. 46. 20; 25% is 21 and 23.9% < 25%. 47. 73; 10% is 74 and 9.79% < 10%. 48. 185; 75% is 180 and 76.02% > 75%. 49. $297.00 50. $32.70 51. $3896.00 52. Answers may vary. Sample: $1.20; take 10% and 5% of $8 and add them. 53. a. $74.25 b. 3.75% c. 6 yr 54. $61.20 55. $1250.00 56. 7% 57. 2 yr 4-3
Proportions and Percent Equations ALGEBRA 1 LESSON 4-3 58. Answers may vary. Sample: 33%; I sleep 8 h a day, and there are 24 h in a day, so = , x = 33 . 59. a. b. 200 c. 400% 60. Yes; 16.99(1.15)(0.66) < 13.99(1.06), 12.90 < 14.83. 61. 27237 62. 11712 63. 425 64. 35 65. 667 x 100 8 24 1 3 50 66. 20 67. 13 mi 68. 60 mi 69. 90 mi 70. 106 mi 71. b < –4; 72. x 7; 73. h > –21; 74. p < – ; 1 3 2 3 > – 1 3 4-3