document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129988>Question 1129988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Land O’ Lakes High School auditorium has exactly 26 rows of seats. The rows are labeled, in order, from the front of the auditorium to the back from A through Z. There are 8 seats in the row A. Each row after the first row has two more seats than the previous row. There are 10 seats in row B, 12 seats in row C and so on. How many seats are there in row Z?\r<BR>\n" );
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document.write( "For this answer, I have 58 seats.\r<BR>\n" );
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document.write( "What is the total number of seats in the Land O’ Lakes High School auditorium?\r<BR>\n" );
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document.write( "For this answer, I have 1508 seats\r<BR>\n" );
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document.write( "Land O’ Lakes High School collected $2860 from ticket sales for the winter concert. A ticket was sold for every seat in the auditorium, resulting in a sold out concert. If the price of an adult ticket was three times the price of a student ticket, and twice as many student tickets were sold as adult tickets, what was the price of a student ticket?\r<BR>\n" );
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document.write( "I cannot figure out this last one.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746626 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is an arithmetic sequence<BR>\n" );
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document.write( "x(n) = a +2(n-1)<BR>\n" );
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document.write( "a = 8<BR>\n" );
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document.write( "x(26) = 8 +2(26-1) = 58<BR>\n" );
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document.write( "58 seats in row Z<BR>\n" );
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document.write( "use the formula for the sum of the elements of an arithmetic sequence<BR>\n" );
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document.write( "sum = (n/2)*(2a +(n-1)d), where n=26, a=8, d=2<BR>\n" );
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document.write( "sum = (26/2)*(2*8 +(26-1)*2) = 858<BR>\n" );
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document.write( "there are 858 seats in the auditorium <BR>\n" );
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document.write( "let a be the number of adult tickets, then number of student tickets is 2a<BR>\n" );
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document.write( "1) a +2a = 858<BR>\n" );
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document.write( "3a = 858<BR>\n" );
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document.write( "a = 286<BR>\n" );
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document.write( "286 adult tickets were sold and 572 student tickets were sold<BR>\n" );
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document.write( "let x be the cost of a student ticket, then 3x is the cost of an adult ticket<BR>\n" );
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document.write( "286*(3x) +572x = 2860<BR>\n" );
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document.write( "858x +572x = 2860<BR>\n" );
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document.write( "1430x = 2860<BR>\n" );
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document.write( "x = 2<BR>\n" );
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document.write( "the student ticket costs $2<BR>\n" );
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