document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024174>Question 1024174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece and seniors paid $6 apiece. A total of 1129 tickets were sold at the concert. If there was 1 more student than adults and seniors combined, and the total income for the concert is $8257, how many of each kind of ticket was sold at the concert ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639632 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece and seniors paid $6 apiece. A total of 1129 tickets were sold at the concert. If there was 1 more student than adults and seniors combined, and the total income for the concert is $8257, how many of each kind of ticket was sold at the concert ? <BR>\n" );
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document.write( "Quantity:: a + t + s = 1129 tickets<BR>\n" );
document.write( "Value::  10a + 5t + 6s = 8257 dollars<BR>\n" );
document.write( "Quantity::: t = a+s + 1<BR>\n" );
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document.write( "Rearrange::<BR>\n" );
document.write( "a + t + s = 1129<BR>\n" );
document.write( "10a + 5t + 6s = 8257<BR>\n" );
document.write( "a - t + s = -1<BR>\n" );
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document.write( "Solve the system be any means you know to get:<BR>\n" );
document.write( "a = 512 (# of adult) <BR>\n" );
document.write( "t = 565 (# of student)<BR>\n" );
document.write( "s = 52 (# of senior)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );