document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736930>Question 736930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503\r<BR>\n" );
document.write( "\n" );
document.write( "How many adults and how many children attended the show? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852654 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13258)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "This problem can also be solved mentally using logic and mental arithmetic, although the mental calculations needed are not simple.<br><BR>\n" );
document.write( "If all 324 people were children, the ticket sales total would be 324($2.50) = 81($10) = $810.  (Notice the mental trick there of performing the required multiplication by dividing the 324 by 4 and multiplying the $2.50 by 4; then multiplying by 10 is easier than multiplying by 2.5.)<br><BR>\n" );
document.write( "That total of $810 is $1503-$810 = $693 short of the actual total.<br><BR>\n" );
document.write( "The difference in cost between an adult ticket and a child ticket is $7-$2.50 = $4.50.  The number of adults is then ($693)/($4.50) = ($1386)/($9) = 154. (Notice again the trick of making the division easier by doubling both numbers, since dividing by 9 is easier than dividing by 4.5).<br><BR>\n" );
document.write( "So the number of adults is 154 and the number of children is 324-154 = 170.<br><BR>\n" );
document.write( "ANSWER: 154 adults and 170 children<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );