11.The sum of three times a number and 7 more than the number is the same as the differ-
ence between and twice the number. What is the number?
12.If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as
if the number is multiplied by 3 and 4 is added to the product. What is the number?
Solve each problem. See Example 2.
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116 CHAPTER 2 Linear Equations and Inequalities in One Variable
13.Pennsylvania and Ohio were the states
with the most remaining drive-in movie
screens in the United States in 2007.
Pennsylvania had 2 more screens than
Ohio, and there were 68 screens total in
the two states. How many drive-in
movie screens remained in each state?
(Source:www.drive-ins.com)
14.As of 2008, the two most highly watched
episodes in the history of television were
the final episode of and the
final episode of Cheers.The number of
viewers for these original broadcasts in
1983 was about 92 million, with 8 million
more people watching the
episode than the Cheers episode. How
many people watched each show?
(Source:Nielsen Media Research.)
MAS*H
MAS*H
15.In August 2009, the U.S. Senate had a total of 98 Democrats and Republicans. There were
18 more Democrats than Republicans. How many members of each party were there?
(Source:www.thegreenpapers.com)
16.In August 2009, the total number of Democrats and Republicans in the U.S. House of
Representatives was 434. There were 78 more Democrats than Republicans. How many
members of each party were there? (Source:www.thegreenpapers.com)
17.Bon Jovi and Bruce Springsteen had the
two top-grossing North American con-
cert tours for 2008, together generating
$415.3 million in ticket sales. If Bruce
Springsteen took in $6.1 million less
than Bon Jovi, how much did each tour
generate? (Source:www.billboard.com)
18.The Toyota Camry was the top-selling
passenger car in the United States in
2007, followed by the Honda Accord.
Accord sales were 81 thousand less than
Camry sales, and 865 thousand of the
two types of cars were sold. How many
of each make of car were sold? (Source:
World Almanac and Book of Facts.)
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