156 Chapter 2 Linear Equations and Inequalities Mixed Exercises x x 1 are 633 episodes of Gunsmoke and 365 episodes of The Simpsons. x x 1 x 2 43. A group of hikers walked from Hawk Mt. Shelter to Blood Mt. Shelter along the Appalachian Trail, a total distance of 20.5 mi. It took 2 days for the walk. The second day the hikers walked 4.1 mi less than they did on the first day. How far did they walk each day? They walked 12.3 mi on the first day and 8.2 mi on the second. 44. $120 is to be divided among three restaurant servers. Angie made $10 more than Marie. Gwen, who went home sick, made $25 less than Marie. How much money should each server get? Marie made $45, Angie made $55, and Gwen made $20. 45. A 4-ft piece of PVC pipe is cut into three pieces. The longest piece is 5 in. shorter than three times the shortest piece. The middle piece is 8 in. longer than the shortest piece. How long is each piece? The pieces are 9 in., 17 in., and 22 in. 46. A 6-ft piece of copper wire must be cut into three pieces. The middle piece is 16 in. longer than the shortest piece. The longest piece is twice as long as the middle piece. How long is each piece? The pieces are 6 in., 22 in., and 44 in. 47. Three consecutive integers are such that three times the largest exceeds the sum of the two smaller integers by 47. Find the integers. The integers are 42, 43, and 44. 48. Four times the smallest of three consecutive odd integers is 236 more than the sum of the other two integers. Find the integers. The integers are 121, 123, and 125. 49. In a recent year, the two top money earners of American Idol winners were Carrie Underwood and Jennifer Hudson. Jennifer’s earnings were $2 million less than half of Carrie’s earnings. If the total earnings were $19 million, find the individual earnings for Carrie Underwood and Jennifer Hudson? Carrie Underwood earned $14 million and Jennifer Hudson earned $5 million. 50. Two of the longest-running TV series are Gunsmoke and The Simpsons. Gunsmoke ran 97 fewer episodes than twice the number of The Simpsons. If the total number of episodes is 998, how many of each show was produced? There 51. Five times the difference of a number and three is four less than four times the number. Find the number. The number is 11. 52. Three times the difference of a number and seven is one less than twice the number. Find the number. The number is 20. 53. The sum of the page numbers on two facing pages in a book is 941.What are the page numbers? The page numbers are 470 and 471. 54. Three raffle tickets are represented by three consecutive integers. If the sum of the three integers is 2,666,031, find the numbers. The ticket numbers are 888,676; 888,677; and 888,678. 55. If three is added to five times a number, the result is forty-three more than the number. Find the number. The number is 10. 56. If seven is added to three times a number, the result is thirty-one more than the number. The number is 12. Writing Translating Expression Geometry Scientific Calculator Video
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