document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686427>Question 686427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lucy took three tests. If her median score was 82, her mean score was 87, and the range was 17, what were her three test scores?\r<BR>\n" );
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document.write( "My work so far:<BR>\n" );
document.write( "87 = (82 + B + C) ÷ 3<BR>\n" );
document.write( "87 × 3 = (82 + B + C)<BR>\n" );
document.write( "261 = 82 + B + C<BR>\n" );
document.write( "261 – 82 = B + C<BR>\n" );
document.write( "170 = B + C<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 #424766 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " Lucy took three tests. If her median score was 82, her mean score was 87, and the range was 17, what were her three test scores? \r<BR>\n" );
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document.write( "let   three tests be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the median (being the middle value, in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >)score was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82 ALIGN=MIDDLE  ALT=\"82\"   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=82=b ALIGN=MIDDLE  ALT=\"82=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >......................1\r<BR>\n" );
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document.write( "the mean (average) was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87 ALIGN=MIDDLE  ALT=\"87\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "87=(a+b+c)/3...................2\r<BR>\n" );
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document.write( "and the range (  the difference between the two most extreme values)was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "let’s <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Eb%3Ec ALIGN=MIDDLE  ALT=\"a%3Eb%3Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so.   the range  is the difference between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   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=17=a-c ALIGN=MIDDLE  ALT=\"17=a-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......................3<BR>\n" );
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document.write( "solve the system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82=b ALIGN=MIDDLE  ALT=\"82=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >......................1.......plug it in 2\r<BR>\n" );
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document.write( "87=(a+b+c)/3...................2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17=a-c ALIGN=MIDDLE  ALT=\"17=a-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......................3<BR>\n" );
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document.write( "87=(a+82+c)/3...................2a\r<BR>\n" );
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document.write( "take 3 and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   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=17=a-c ALIGN=MIDDLE  ALT=\"17=a-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......................3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=a-17 ALIGN=MIDDLE  ALT=\"c=a-17\"   DISABLED_style= \"max-width:90%; height:auto;\" >...................plug it in 3a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87=%28a%2B82%2Ba-17%29%2F3 ALIGN=MIDDLE  ALT=\"87=%28a%2B82%2Ba-17%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >...................2a.......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   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=87%2A3=2a%2B82-17 ALIGN=MIDDLE  ALT=\"87%2A3=2a%2B82-17\"   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=261=2a%2B65 ALIGN=MIDDLE  ALT=\"261=2a%2B65\"   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=261-65=2a ALIGN=MIDDLE  ALT=\"261-65=2a\"   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=196%2F2=a ALIGN=MIDDLE  ALT=\"196%2F2=a\"   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=a=98 ALIGN=MIDDLE  ALT=\"a=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, go to 3a and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   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=c=a-17 ALIGN=MIDDLE  ALT=\"c=a-17\"   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=c=98-17 ALIGN=MIDDLE  ALT=\"c=98-17\"   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=c=81 ALIGN=MIDDLE  ALT=\"c=81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, her three test scores <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=98 ALIGN=MIDDLE  ALT=\"a=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=82 ALIGN=MIDDLE  ALT=\"b=82\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=81 ALIGN=MIDDLE  ALT=\"c=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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