document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851017>Question 851017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem that I am supposed to turn in to a equation and it says \"On a math test Sally scored 14 points more than Leslie the sum of their scores was 160 find their scores. please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512514 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=512514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let\r<BR>\n" );
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document.write( "L = Leslie's score<BR>\n" );
document.write( "S = Sally's score\r<BR>\n" );
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document.write( "It tells us that \"Sally scored 14 points more than Leslie\" so we know \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sally+=+%28Leslie%29+%2B+14 ALIGN=MIDDLE  ALT=\"Sally+=+%28Leslie%29+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+L+%2B+14 ALIGN=MIDDLE  ALT=\"S+=+L+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Let's call this equation 1\r<BR>\n" );
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document.write( "We're also given \"the sum of their scores was 160\", which means the two scores add to 160.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Sally%29+%2B+%28Leslie%29+=+160 ALIGN=MIDDLE  ALT=\"%28Sally%29+%2B+%28Leslie%29+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%2B+L+=+160 ALIGN=MIDDLE  ALT=\"S+%2B+L+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" > Let's call this equation 2\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%2B+L+=+160 ALIGN=MIDDLE  ALT=\"S+%2B+L+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B14+%2B+L+=+160 ALIGN=MIDDLE  ALT=\"L%2B14+%2B+L+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace S with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B14 ALIGN=MIDDLE  ALT=\"L%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the first equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+L+%2B+14 ALIGN=MIDDLE  ALT=\"S+=+L+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Now we solve for L\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B14+%2B+L+=+160 ALIGN=MIDDLE  ALT=\"L%2B14+%2B+L+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%2B14+=+160 ALIGN=MIDDLE  ALT=\"2L%2B14+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L+=+160-14 ALIGN=MIDDLE  ALT=\"2L+=+160-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L+=+146 ALIGN=MIDDLE  ALT=\"2L+=+146\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+146%2F2 ALIGN=MIDDLE  ALT=\"L+=+146%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+73 ALIGN=MIDDLE  ALT=\"L+=+73\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that we know L, we can use this to find S\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+L+%2B+14 ALIGN=MIDDLE  ALT=\"S+=+L+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+73+%2B+14 ALIGN=MIDDLE  ALT=\"S+=+73+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace L with 73 (above we found that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=73 ALIGN=MIDDLE  ALT=\"L=73\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+87 ALIGN=MIDDLE  ALT=\"S+=+87\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+73 ALIGN=MIDDLE  ALT=\"L+=+73\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+87 ALIGN=MIDDLE  ALT=\"S+=+87\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "<font color=\"red\">Leslie's score was <b>73</b></font> and <BR>\n" );
document.write( "<font color=\"red\">Sally's score was <b>87</b></font>\r<BR>\n" );
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document.write( "Quick Check: Notice how 87 is 14 more than 73 (87 - 73 = 14) so we have a 14 point difference. Also, the two scores add to 160: 73+87 = 160. So both conditions check out. </SPAN>\n" );
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