document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144208>Question 1144208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> student tickets at a high school basketball game cost $2.50 each adult tickets cost $6 each the ticket sales at the first game of the season total $7,000 write a model that shows the numbers of student and adult ticket that could have been sold then graph the model and determine three combinations of student and adult tickets that satisfy the model </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765241 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=765241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "do you have something against the use of punctuation and capitalization it makes it hard to read your post when everything is just run together it might be okay to write like this when you are texting with your friends but its rather rude when you are asking for help with a problem  you certainly wouldn't want to write like this when writing a resume when applying for a job<br><BR>\n" );
document.write( "Please be more polite the next time you post a question to the forum....<br><BR>\n" );
document.write( "Let s = number of students<BR>\n" );
document.write( "Let a = number of adults<br><BR>\n" );
document.write( "Then the cost in dollars of s tickets at $2.50 each is 2.5s, and the cost of a tickets at $6 each is 6a.  Then since the total ticket sales in dollars was 7000,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5s%2B6a+=+7000 ALIGN=MIDDLE  ALT=\"2.5s%2B6a+=+7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There's your \"model\".<br><BR>\n" );
document.write( "You can draw the graph as easily as I can....<br><BR>\n" );
document.write( "As for finding combinations of student and adult tickets that can make a total of $7000, note that<br><BR>\n" );
document.write( "(1) the cost of each adult ticket is a whole number, so the total cost of the adult tickets is a whole number; and the total ticket sales amount is a whole number.  That means the total cost of the student tickets must be a whole number; and that means the number of student tickets must be even.  So we can think of the student tickets being sold in pairs, for $5 a pair.<br><BR>\n" );
document.write( "(2) So the total cost of the student tickets is a multiple of $5, and the total ticket sales amount is a multiple of $5; that means the total cost of the adult tickets must be a multiple of $5.  At $6 each, that means the number of adult tickets must be a multiple of 5.<br><BR>\n" );
document.write( "So to find combinations of adult and student tickets that will yield the $7000 total, you can choose any numbers of adult tickets that are multiples of 5 and then do some arithmetic to determine the corresponding number of student tickets. </SPAN>\n" );
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