document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203093>Question 1203093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James went to the theatre to watch a concert with his family. The theatre had 4270 seats. There were 60% fewer $50-seats than $30-seats. 50% of the $30-seats and some $50-seats were sold. A total of $47 500 was collected. How many seats were unsold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838365 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is what i get.\r<BR>\n" );
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document.write( "A = the number of 30 dollar seats available.<BR>\n" );
document.write( "B = the number of 50 dollar seats available.<BR>\n" );
document.write( "the total number of seats available is 4270.<BR>\n" );
document.write( "the equation for that is A + B = 4270\r<BR>\n" );
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document.write( "there were 60% fewer 50 dollar seats available than 30 dollar seats.<BR>\n" );
document.write( "the equation for that is B = A - .6 * A = .4 * A.<BR>\n" );
document.write( "replace B with .4 * A in the equation of A + B = 4270 to get:<BR>\n" );
document.write( "A + .4 * A = 4270<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "1.4 * A = 4270<BR>\n" );
document.write( "solve for A to get:<BR>\n" );
document.write( "A = 4270 / 1.4 = 3050 thirty dollar seats available.<BR>\n" );
document.write( "this means that there are 4270 - 3050 = 1220 fifty dollar seats available.\r<BR>\n" );
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document.write( "50% of the 30 dollar seats and some of the 50 dollar seats were sold for a total revenue of 47500.<BR>\n" );
document.write( "50% times 3050 = 1525 thirty dollars seats that were sold.<BR>\n" );
document.write( "let x equal the number of 50 dollar seats that were sold and the equation for the total revenue becomes:<BR>\n" );
document.write( "1525 * 30 + 50 * x = 47500.<BR>\n" );
document.write( "simplify to get 45750 + 50 * x = 47500<BR>\n" );
document.write( "subtract 45750 from both sides of this equation to get 50 * x = 1750<BR>\n" );
document.write( "solve for x to get x = 35.\r<BR>\n" );
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document.write( "1525 thirty dollar seats were sold and 35 fifty dollar seats were sold for a total revenue of 1525 * 30 + 35 * 50 = 47500.\r<BR>\n" );
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document.write( "the number of seats that were unsold was 5050 minus 1525 = 1525 thirty dollar seats and 1220 - 35 = 1185 fifty dollar seats for a total of 2710 seats that were unsold.\r<BR>\n" );
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document.write( "that shoud be your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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