document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896321>Question 896321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A state theater sold ticket for $500. Senior citizens receive a discount 20% and paid only $400. On the initial showing, the theater sold 450 ticket and registered a total of $207500. How many of each type of ticket were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543499 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A state theater sold ticket for $500.<BR>\n" );
document.write( " Senior citizens receive a discount 20% and paid only $400.<BR>\n" );
document.write( " On the initial showing, the theater sold 450 ticket and registered a total of $207500.<BR>\n" );
document.write( " How many of each type of ticket were sold?<BR>\n" );
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document.write( "Let a = no. of adult tickets ($500)<BR>\n" );
document.write( "let s = no. of seniors ($400)<BR>\n" );
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document.write( "The total tickets sold equation<BR>\n" );
document.write( "a + s = 450<BR>\n" );
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document.write( "The total $ equation<BR>\n" );
document.write( "500a + 400s = 207500<BR>\n" );
document.write( "simplify, divide thru by 100<BR>\n" );
document.write( "5a + 4s = 2075<BR>\n" );
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document.write( "Multiply the 1st equation by 4, use elimination with the above equation<BR>\n" );
document.write( "5a + 4s = 2075<BR>\n" );
document.write( "4a + 4s = 1800<BR>\n" );
document.write( "----------------subtraction eliminates s, find a<BR>\n" );
document.write( "a = 275 ea $500 tickets sold<BR>\n" );
document.write( "Find s<BR>\n" );
document.write( "450 - 275 = 175 ea $400 tickets sold<BR>\n" );
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document.write( "Check this: find amt for each type of ticket<BR>\n" );
document.write( "275(500) = 137500<BR>\n" );
document.write( "175(400) =  70000<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "total amt: 207500<BR>\n" );
document.write( " </SPAN>\n" );
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