document.write( "Question 1123192: In some country’s congress, the number of Representatives is 170 less than 5 times the number of senators. There are a total of 550 members. Find the number of senators and the number of representatives. \n" ); document.write( "

Algebra.Com's Answer #739467 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "senators + representatives = 550\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "S        + R               = 550\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "S        + (5*S -170)      = 550\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "S + 5S - 170 = 550\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "6S = 550 + 170 =  720\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "S = 720/6 = 120.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  120 senators and  550 - 120 = 430 representatives.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );