document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204597>Question 1204597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 129 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.5 and total receipts for the concert was $233.25, how many of each went to the concert?  </SPAN>\n" );
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document.write( "Let's say there are 129 adults in attendance.\r<BR>\n" );
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document.write( "That would bring in 2.25*129 = 290.25 dollars in revenue. <BR>\n" );
document.write( "This value is to large compared to the actual revenue of $233.25\r<BR>\n" );
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document.write( "We need to decrease the revenue by 290.25 - 233.25 = 57 dollars.\r<BR>\n" );
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document.write( "We'll need to replace some adults with children to bring the revenue down.<BR>\n" );
document.write( "Each time we replace 1 adult with 1 child, the revenue drops by $0.75, aka 75 cents, because 2.25 - 1.50 = 0.75\r<BR>\n" );
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document.write( "n = number of times we replace 1 adult with 1 child<BR>\n" );
document.write( "0.75n = total decrease in revenue<BR>\n" );
document.write( "0.75n = 57<BR>\n" );
document.write( "n = 57/0.75<BR>\n" );
document.write( "n = 76<BR>\n" );
document.write( "We'll have 76 instances where we replace 1 adult with 1 child.\r<BR>\n" );
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document.write( "The 129 adults drops to 129-76 = 53 adults.<BR>\n" );
document.write( "The 0 children increases to 0+76 = 76 children\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "53 adults + 76 children = 129 people total<BR>\n" );
document.write( "53 adults bring 53*2.25 = $119.25 in revenue<BR>\n" );
document.write( "76 children bring 76*1.5 = $114 in revenue<BR>\n" );
document.write( "total revenue = 119.25+114 = 233.25<BR>\n" );
document.write( "Or as a shortcut we could say: 53*2.25 + 76*1.5 = 233.25<BR>\n" );
document.write( "The answers are confirmed.\r<BR>\n" );
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document.write( "Summary<BR>\n" );
document.write( "<font color=red>53 adults</font><BR>\n" );
document.write( "<font color=red>76 children</font><BR>\n" );
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