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Section 2.4 Applications of Linear Equations: Introduction to Problem Solving 155 Concept 4: Applications of Linear Equations For Exercises 31–42, use the problem-solving flowchart (page 147) to solve the problems. 32. A rope is 54 in. in length and must be cut into two pieces. If one piece must be twice as long as the other, find the length of each piece. The lengths of the pieces are 18 in. and 36 in. x 2x 31. A board is 86 cm in length and must be cut so that one piece is 20 cm longer than the other piece. Find the length of each piece. (See Example 6.) The lengths of the pieces are 33 cm and 53 cm. x x 20 34. Maria has 15 fewer apps on her phone than Orlando. If the total number of apps on both phones is 29, how many apps are on each phone? Maria has 7 apps and Orlando has 22 apps. 33. Karen’s iPod contains 12 fewer playlists than Clarann’s iPod. The total number of playlists on both iPods is 58. Find the number of playlists on each person’s iPod. Karen’s iPod has 23 playlists and Clarann’s iPod has 35 playlists. 36. For a recent year, the number of men in the U.S. Senate totaled 4 more than 5 times the number of women. Find the number of men and the number of women in the Senate given that the Senate has 100 members. There were 84 men and 16 women. 35. For a recent year, 31 more Democrats than Republicans were in the U.S. House of Representatives. If the total number of representatives in the House from these two parties was 433, find the number of representatives from each party. There were 201 Republicans and 232 Democrats. 38. Two of the largest Internet retailers are e-Bay and Amazon.com. Recently, the estimated U.S. sales of e-Bay were $0.1 billion less than twice the sales of Amazon.com. Given the total sales of $5.6 billion, determine the sales of e-Bay and Amazon.com. e-Bay’s sales were $3.7 billion and Amazon.com’s sales were $1.9 billion. 37. During one week in a recent season, the show CSI: Crime Scene Investigation had 1.06 million fewer viewers than Criminal Minds. For both shows, the total number of viewers was 27.40 million. Find the number of viewers for each show during this week. (See Example 7.) 40. The average depth of the Gulf of Mexico is three times the depth of the Red Sea. The difference between the average depths is 1078 m. What is the average depth of the Gulf of Mexico and the average depth of the Red Sea? 39. The longest river in Africa is the Nile. It is 2455 km longer than the Congo River, also in Africa. The sum of the lengths of these rivers is 11,195 km.What is the length of each river? Nile Congo 42. Mt. Everest, the highest mountain in the world, is 2654 m higher than Mt. McKinley, the highest mountain in the United States. If the sum of their heights is 15,042 m, find the height of each mountain. Mt. McKinley is 6194 m high. Mt. Everest is 8848 m high. 41. Asia and Africa are the two largest continents in the world. The land area of Asia is approximately 14,514,000 km2 larger than the land area of Africa. Together their total area is 74,644,000 km2 . Find the land area of Asia and the land area of Africa. The area of Africa is 30,065,000 km2. The area of Asia is 44,579,000 km2. CSI had 13.17 million viewers and Criminal Minds had 14.23 million viewers. The average depth of the Red Sea is 539 m and that of the Gulf of Mexico is 1617 m. The Congo River is 4370 km long, and the Nile River is 6825 km. Writing     Translating Expression     Geometry      Scientific Calculator     Video


miller_introductory_algebra_3e_ch1_3
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