document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57313>Question 57313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?  <BR>\n" );
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document.write( "Let a = the number of adult tickets purchased.\r<BR>\n" );
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document.write( "Let s = the number of student tickets purchased.\r<BR>\n" );
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document.write( ". Write a system of equations that can be used to determine the number of adult and student tickets purchased.\r<BR>\n" );
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document.write( ". Determine the number of adults tickets sold and the number of student tickets sold. Use mathematics to explain how you determined your answer. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39016 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a+%2B+s+=+1500%2C+3.5a+%2B+2s+=+3825%29 ALIGN=MIDDLE  ALT=\"system%28a+%2B+s+=+1500%2C+3.5a+%2B+2s+=+3825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)<TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Ca+%2B+1%5Cs+=+1500%2C%0D%0A++++3.5%5Ca+%2B+2%5Cs+=+3825+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Ca+%2B+1%5Cs+=+1500%2C%0D%0A++++3.5%5Ca+%2B+2%5Cs+=+3825+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*s to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aa+=+1500+-+1%2As ALIGN=MIDDLE  ALT=\"1%2Aa+=+1500+-+1%2As\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1500%2F1+-+1%2As%2F1 ALIGN=MIDDLE  ALT=\"a+=+1500%2F1+-+1%2As%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2A%281500%2F1+-+1%2As%2F1%29+%2B+2%5Cs+=+3825 ALIGN=MIDDLE  ALT=\"3.5%2A%281500%2F1+-+1%2As%2F1%29+%2B+2%5Cs+=+3825\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that s=950. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1500%2F1+-+1%2As%2F1 ALIGN=MIDDLE  ALT=\"a+=+1500%2F1+-+1%2As%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a=550.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+a=550%2C+s=950+%29 ALIGN=MIDDLE  ALT=\"system%28+a=550%2C+s=950+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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