Section 2.4 Applications of Linear Equations: Introduction to Problem Solving 137 Concept 4: Applications of Linear Equations For Exercises 31–42, use the problem-solving flowchart (page 129) to solve the problems. x x 20 x 2x 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? 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? 41. Asia and Africa are the two largest continents in the world.The land area of km2 Asia is approximately 14,514,000 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. 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. Mixed Exercises 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? Nile Congo 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.) 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. 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. 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? 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. 36. For a recent year, the number of men in the U.S. Senate totaled 4 more than five 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. 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.) 38. Two of the largest Internet retailers are eBay and Amazon.com. Recently, the estimated U.S. sales of eBay were $0.1 billion less than twice the sales of Amazon.com. Given the total sales of $5.6 billion, determine the sales of eBay and Amazon.com.
miller_beginning_intermediate_algebra_4e_ch1_3
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