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604                            C HAPTE R 8 I INTRODUCTION TO ALGEBRA


        57. During the 2008 Super Bowl, the Pittsburgh Steelers  58. During the 2009 Men’s NCAA Division I basketball
           scored 4 more points than the Arizona Cardinals.     championship game, the Michigan State Spartans
           Together, both teams scored a total of 50 points. How  scored 17 fewer points than the North Carolina Tar
           many points did the 2008 champion Pittsburgh Steelers  Heels.Together, both teams scored a total of 161
           score during this game? (Source: NFL)                points. How many points did the 2009 champion North
                                                                Carolina Tar Heels score during this game? (Source:
                                                                National Collegiate Athletic Association)
        For Exercises 59 and 60, see the graph to the right of these  National Supply and Demand
        exercises.                                                Projections for Full-Time Equivalent
                                                                    Registered Nurses: 2000 to 2020
        59. In 2020, the shortage of nurses is projected to be  3.0
           533,201 more nurses than the shortage in 2010. If the                    Demand
           total number of nurse shortages for these two years is  2.5
           1,083,631, find the nurse shortage for each year.

        60. The percent shortage of nurses in 2019 is predicted to  Nurses (in millions)  2.0  Supply
           be three times the percent shortage in 2007. If the total  1.5
           percent shortages for these two years is 36%, find the
           percent shortage in 2007 and the percent shortage in  1.0
           2019.                                                0
                                                                2000   2004   2008    2012   2016   2020
                                                                                  Year
                                                             Source: Bureau of Health Professions, RN Suppy and Demand Projections
        61. In Germany, about twice as many cars are         62. A Toyota Camry is traveling twice as fast as a Dodge
           manufactured per day than in Spain. If the total     truck. If their combined speed is 105 miles per hour,
           number of these cars manufactured per day is 19,827,  find the speed of the car and find the speed of the
           find the number manufactured in Spain and the         truck.
           number manufactured in Germany.


        63. A biker sold his used mountain bike and accessories  64. A tractor and a plow attachment are worth $1200.The
           for $270. If he received five times as much money for  tractor is worth seven times as much money as the
           the bike as he did for the accessories, find how much  plow. Find the value of the tractor and the value of
           money he received for the bike.                      the plow.


        65. The USA is the country with the most computers,  66. The total number of computers for Italy and Russia is
           followed by Japan. If the USA has 162,550 million    56,280 million. If Italy has 2340 million more
           more computers than Japan and the total number of    computers than Russia, find the number of computers
           computers for both countries is 318,450 million, find  for each country.
           the number of computers for each country.


        Review

        Round each number to the given place value. See Section 1.5.

        67. 586 to the nearest ten                           68. 82 to the nearest ten
        69. 1026 to the nearest hundred                      70. 52,333 to the nearest thousand
                                                                                                                    Copyright 2012 Pearson Education, Inc.
        71. 2986 to the nearest thousand                     72. 101,552 to the nearest hundred

        Concept Extensions

           73. Solve Example 4 again, but this time let x be the  74. Solve Exercise 43 again, but this time let x be the
              distance from Chicago to Los Angeles. Did you get    number of electoral votes for Florida. Did you get the
              the same results? Explain why or why not.            same results? Explain why or why not.
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