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? 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? 46. A 6-ft piece of copper wire must be cut into three pieces.The shortest piece is 16 in. less than the middle piece.The longest piece is twice as long as the middle piece. How long is each piece? 57. The deepest point in the Pacific Ocean is 676 m more than twice the deepest point in the Arctic Ocean. If the deepest point in the Pacific is 10,920 m, how many meters is the deepest point in the Arctic Ocean? 201,900 km2 58. The area of Greenland is less than three times the area of New Guinea.What is the area of New Guinea if the area of Greenland is 2,175,600 km2? 3 4 60. The difference of a number and is the same as 59. The sum of twice a number and is the same as the 18 difference of four times the number and . Find the number. 16 11 12 the difference of three times the number and . Find the number. 61. The product of a number and 3.86 is equal to 7.15 more than the number. Find the number. 62. The product of a number and 4.6 is 33.12 less than the number. Find the number. 138 Chapter 2 Linear Equations and Inequalities x x 1 x x 1 x 2 47. Three consecutive integers are such that three times the largest exceeds the sum of the two smaller integers by 47. Find the integers. 48. Four times the smallest of three consecutive odd integers is 236 more than the sum of the other two integers. Find the integers. 49. For a recent year, the two top money earners of American Idol winners were Carrie Underwood and Jennifer Hudson. Jennifer earned $2 million less than half of Carrie’s earnings. If their combined earnings totaled $19 million, how much did each person make? 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? 53. The sum of the page numbers on two facing pages in a book is 941.What are the page numbers? 54. Three raffle tickets are represented by three consecutive integers. If the sum of the three integers is 2,666,031, find the numbers. 55. If three is added to five times a number, the result is forty-three more than the number. Find the number. 56. If seven is added to three times a number, the result is thirty-one more than the number. Find the number. 51. Five times the difference of a number and three is four less than four times the number. Find the number. 52. Three times the difference of a number and seven is one less than twice the number. Find the number.
miller_beginning_intermediate_algebra_4e_ch1_3
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