document.write( "Question 1126568: The U.S. Senate has 100 members. After a certain election, there were 18 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate? \n" ); document.write( "

Algebra.Com's Answer #742882 by sbro7568(4) $\"\"$ $\"About$

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To represent the number of Democrats in the Senate, we will use the variable D. For Republicans, we will use R.\r
\n" ); document.write( "\n" ); document.write( "If there are 18 more Democrats than Republicans, we can create an equation for the number of Democrats: $\"D=R%2B18\"$ .\r
\n" ); document.write( "\n" ); document.write( "If there are 100 members in total, an equation for the total could be $\"D%2BR=100\"$ . \r
\n" ); document.write( "\n" ); document.write( "If we plug in the first equation to the second equation to replace D, we can $\"%28R%2B18%29%2BR=100\"$ . When we simplify this equation, we get $\"2R%2B18=100\"$ . We can then subtract 18 from both sides to get $\"2R=82\"$ , then divide both sides by 2 and get $\"R=41\"$ . Therefore, since R represents the number of Republicans, there are 41 members of that party in the Senate.\r
\n" ); document.write( "\n" ); document.write( "To get the number of Democrats, we can plug in 41 to the first equation we created, to get $\"D=41%2B18\"$ . When we simplify this, we get $\"D=59\"$ . Therefore, there are 59 Democrats in the Senate. \r
\n" ); document.write( "\n" ); document.write( "--
\n" ); document.write( "tl;dr:
\n" ); document.write( "Democrats = 59
\n" ); document.write( "Republicans = 41 \n" ); document.write( "

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