document.write( "Question 1173890: In a recent election Corrine Brown received 13,204 more votes than Bill Randall. If the total number of votes was ​119,548 find the number of votes for each candidate. \n" ); document.write( "
Algebra.Com's Answer #799216 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "There is short, quick and elegant way to solve it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You write the system of two equations EXACTLY as you read the text\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Corrine - Bill =  13204    (1)\r\n" );
document.write( "\r\n" );
document.write( "    Corrine + Bill = 119548    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then you add the equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2*Corrine = 13204 + 119548 = 132752\r\n" );
document.write( "\r\n" );
document.write( "and divide by 2\r\n" );
document.write( "\r\n" );
document.write( "      Corrine = 132752/2 = 66376.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now from equation (2) you get\r\n" );
document.write( "\r\n" );
document.write( "     Bill = 119548 - 66376 = 53172.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Corrine 66376;   Bill 53172.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to see million other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Word problems that lead to a simple system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );