document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188041>Question 1188041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The posted results of a recent high school swim meet state that 24 individuals placed, earning a combined total of 53 points. First place earned 3 points, second place earned 2 points, and third place earned 1 point. There were as many first-place finishers as second-place and third-place finishers combined.\r<BR>\n" );
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document.write( "a. Write a system of three equations that represents how many people finished in each place. <BR>\n" );
document.write( "b. How many swimmers finished in first place, in second place, and in third place?<BR>\n" );
document.write( "c. Suppose that the athletes scored a combined total of 47 points. Explain why this statement is false and the<BR>\n" );
document.write( "solution is unreasonable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819100 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=819100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, y, z, how many in first, second, third places<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=24 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3 points for each of x<BR>\n" );
document.write( "2 points for each y<BR>\n" );
document.write( "1 point for each z\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y%2Bz=53 ALIGN=MIDDLE  ALT=\"3x%2B2y%2Bz=53\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There were as many first-place finishers as second-place and third-place finishers combined.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y-z=0 ALIGN=MIDDLE  ALT=\"x-y-z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "These two equations <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=24%2Cand%2Cx-y-z=0%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=24%2Cand%2Cx-y-z=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=12%29 ALIGN=MIDDLE  ALT=\"highlight%28x=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Bz=12 ALIGN=MIDDLE  ALT=\"y%2Bz=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here is a system of two equations in two variables.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283%2A12%2B2y%2Bz=53%2Cy%2Bz=12%29 ALIGN=MIDDLE  ALT=\"system%283%2A12%2B2y%2Bz=53%2Cy%2Bz=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( ". </SPAN>\n" );
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