A-2 ANSWERS 46. Place six coins in each pan with one coin off to the side. If it balances, the heavier coin is the one on the side. If the pan does not balance, take the six coins on the heavier side and split them into two groups of three. Select the three heavier coins and weigh two coins. If the pan balances, it is the third coin. If the pan does not balance, you can identify the heavier coin. 47. 125,250 48. 16 blue 49. 90 50. The fifth figure will be an octagon with sides of equal length. Inside the octagon will be a seven-sided figure with each side of equal length. The figure will have one antenna. 51. 61 52. Some possible answers are shown. Others are possible. 4 3 12 10 8 5 1 2 6 11 7 9 1 3 11 8 12 7 4 2 5 9 10 6 4 1 12 11 7 5 2 3 8 9 6 10 53. a) 2 b) 6 c) 24 d) 120 e) − − … n n n ( 1)( 2) 1, (or n!), where n = the number of people in the line CHAPTER TEST, PAGE 39 1. 26, 32, 38 2. , , 1 5 1 6 1 7 3. a) The result is the original number plus 1. b) The result is the original number plus 1. c) The result will always be the original number plus 1. d) + = + + n n n n ,5 ,5 10, 2, n5 10 5 + − = + n n 2 1 1 4. 50,000 5. 2,000,000 6. 9 square units 7. a) $69 b) $5.34 c) $54.56 d) $14.44 8. a) 325,000 visitors b) 100,000 visitors 9. 77 miles 10. 32 cans 11. 7 1 2 min 12. 7.5 miles 13. $49.00 14. 40 15 20 5 25 45 30 35 10 15. Less time if she had driven at 45 mph for the entire trip 16. 1 2 tablespoon 17. 48 square meters 18. 243 jelly beans 19. a) $11.97 b) $11.81 c) Save 16 cents by using the 25% off coupon. 20. 24 55. 6 ways 57. 7 3 1 5 8 6 4 2 Other answers are possible, but 1 and 8 must appear in the center. 59. a) $1025.60 b) $9272.66 61. a) $8760 b) $18,645.83 63. 1 2 3 4 5 2 3 4 5 1 3 4 5 1 2 4 5 1 2 3 5 1 2 3 4 Other answers are possible. 65. Mark plays the drums. 67. 714 square units REVIEW EXERCISES, PAGE 35 1. 23, 28, 33 2. 16, 13, 10 3. 64, 128, 256 − 4. 25, 32, 40 5. 10, 4, 3− 6. , , 3 8 3 16 3 32 7. 8. 9. (c) 10. a) The final number is twice the original number. b) The final number is twice the original number. c) The final number is twice the original number. d) + + = + n n n n n , 10 , 10 5, 10 5 5 2 1, + − = n n 2 1 1 2 11. This process will always result in an answer of 3. 12. + = 1 2 5 2 2 13. 800,000,000 14. 2000 15. 400 16. Answers will vary. 17. $200 18. $1600 19. 3 mph 20. $14.00 21. 2 mi 22. 40°F 23. 10°F 24. 13 square units 25. Length 22 ft; height 8 ft 26. $30 27. $2.97 28. Silvan is less expensive by $20. 29. $4 30. a) 288 lb b) 12,500 ft2 31. $661 32. 7.8 mg 33. $1078 34. 6 hr 45 min 35. July 26, 11:00 a.m. 36. a) 104 km/hr b) 56.25 mi/hr 37. 201 38. 21 7 8 18 10 16 15 13 14 12 11 17 9 19 20 6 39. 23 13 25 29 15 21 2717 19 40. 59 min 59 sec 41. 6 42. $25Room $ 3 Friends $ 2Clerk $30 43. 52 44. a) $84.99 b) $19.86 c) $104.85 45. 216 cm3
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