document.write( "Question 1185447: Hi
\n" ); document.write( "At a seminar 2/5 of the audience were students. 3/10 of them were retirees the rest were professionals. There were 18 more students than professionals.
\n" ); document.write( "How many were at the seminar. \r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #816273 by ikleyn(52777) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let x be the number of students (the entire audience).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then from the condition\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.4x - 0.3x = 18.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "       0.1x    = 18.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "          x    = 18/0.1 = 180.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The question is  \"How many were at the seminar\", but it does not specify \"how many of whom\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         The entire audience was 180 people, in all.\r\n" );
document.write( "

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

\n" );