document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189913>Question 1189913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 30 advance tickets and 40 same-day tickets were sold. The total amount paid for the tickets was $1900. What was the price of each kind of ticket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821415 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=821415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = number of advance tickets.<BR>\n" );
document.write( "s = number of same day tickiets.\r<BR>\n" );
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document.write( "equations that need to be solved simultaneously are:<BR>\n" );
document.write( "a + s = 55<BR>\n" );
document.write( "30a + 40s = 1900\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 30 and leave the second equatin as is to get:<BR>\n" );
document.write( "30a + 30s = 1650<BR>\n" );
document.write( "30a + 40s = 1900\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:<BR>\n" );
document.write( "10s = 250<BR>\n" );
document.write( "solve for s to get:<BR>\n" );
document.write( "s = 25<BR>\n" );
document.write( "that makes a = 30 because a + s = 55\r<BR>\n" );
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document.write( "30a + 40s becomes 30 * 30 + 40 * 25 = 900 + 1000 = 1900<BR>\n" );
document.write( "this confirms the values of a and s are correct.\r<BR>\n" );
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document.write( "the price of an advance ticket was 30 and the price of a same day ticket was 25.<BR>\n" );
document.write( "that's your solution.<BR>\n" );
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