document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109117>Question 1109117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lynn is selling tickets to the school play. On the first day of ticket sales she sold 5 adult tickets and 9 children tickets for a total of $98.75. On the second day she sold 10 adult tickets and 15 children tickets for a total of $182.50. What is the price for one adult ticket and one student ticket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724183 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=724183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lynn is selling tickets to the school play. <BR>\n" );
document.write( " On the first day of ticket sales she sold 5 adult tickets and 9 children tickets for a total of $98.75.  On the second day she sold 10 adult tickets and 15 children tickets for a total of $182.50. <BR>\n" );
document.write( " What is the price for one adult ticket and one student ticket?<BR>\n" );
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document.write( "let a = the price of adult tickets<BR>\n" );
document.write( "let c = the price of children's<BR>\n" );
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document.write( "Write an equation for each day<BR>\n" );
document.write( "5a + 9c = 98.75<BR>\n" );
document.write( "10a + 15c = 182.50<BR>\n" );
document.write( "Use elimination, multiply the 1st equation by 2<BR>\n" );
document.write( "10a + 18c = 197.50<BR>\n" );
document.write( "10a + 15c = 182.50<BR>\n" );
document.write( "----------------------subtraction eliminates a, find c<BR>\n" );
document.write( "0 + 3c = 15<BR>\n" );
document.write( "c = 15/3<BR>\n" );
document.write( "c = $5 for each child<BR>\n" );
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document.write( "Find a<BR>\n" );
document.write( "5a + 9(5) = 98.75<BR>\n" );
document.write( "5a + 45 = 98.75<BR>\n" );
document.write( "5a = 98.75 - 45<BR>\n" );
document.write( "5a = 53.75<BR>\n" );
document.write( "a = 53.75/5<BR>\n" );
document.write( "a = $10.75 for each adult<BR>\n" );
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document.write( "Check this using the 2nd equation, replace a and c<BR>\n" );
document.write( "10a + 15c = 182.50<BR>\n" );
document.write( "10(10.75) + 15(5) = <BR>\n" );
document.write( "107.50 + 75 = 182.50\r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );