document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117544>Question 1117544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost <BR>\n" );
document.write( "$35<BR>\n" );
document.write( " and same-day tickets cost <BR>\n" );
document.write( "$15<BR>\n" );
document.write( ". For one performance, there were <BR>\n" );
document.write( "50<BR>\n" );
document.write( " tickets sold in all, and the total amount paid for them was <BR>\n" );
document.write( "$1350<BR>\n" );
document.write( ".How many tickets of each type were sold? \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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document.write( "By algebra....<br><BR>\n" );
document.write( "Let x be the number of advance tickets sold.<BR>\n" );
document.write( "Then since the total number of tickets was 50, the number of same-day tickets is (50-x).<br><BR>\n" );
document.write( "Then write and solve the equation that says x tickets at $35 each plus (50-x) tickets at $15 each makes a total of $1350:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%28x%29%2B15%2850-x%29+=+1350 ALIGN=MIDDLE  ALT=\"35%28x%29%2B15%2850-x%29+=+1350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll let you do the simple algebra from there to find the answer.<br><BR>\n" );
document.write( "By logical reasoning and a bit of mental arithmetic....<BR>\n" );
document.write( "If all 50 tickets had been same-day tickets, the total cost would have been 50*15 = 750; the actual total was 1350-750=600 more than that.<BR>\n" );
document.write( "The difference between the cost of an advance ticket and a same-day ticket is 35-15=20.<BR>\n" );
document.write( "To make up the \"extra\" 600, the number of advance tickets had to be 600/20 = 30.<br><BR>\n" );
document.write( "So there were 30 advance tickets and 20 same-day tickets.<br><BR>\n" );
document.write( "Check: 30(35)+20(15) = 1050+300 = 1350 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );