document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998777>Question 998777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, \r<BR>\n" );
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document.write( "Here is the question:\r<BR>\n" );
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document.write( "A teacher gives a test to two algebra classes. The first class has 18 students, and the second has 24 students. If the average for the first class is 84% and x is the overall average grade for all students, then which of the following statements is true?\r<BR>\n" );
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document.write( "A) 84&#8804;X&#8804;93.1<BR>\n" );
document.write( "B) 42&#8804;X&#8804;92<BR>\n" );
document.write( "C) 36&#8804;X&#8804;93.1<BR>\n" );
document.write( "D) 36&#8804;X&#8804;92<BR>\n" );
document.write( "E) 42&#8804;X&#8804;84\r<BR>\n" );
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document.write( "(I don't know how to solve for the numbers)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616534 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The sum of scores for first class:<BR>\n" );
document.write( "18*84=1512<BR>\n" );
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document.write( "LOWEST POSSIBLE AVERAGE:<BR>\n" );
document.write( "If average of second class=0, sum of scores for second class:<BR>\n" );
document.write( "24*0=0<BR>\n" );
document.write( "And combined average:<BR>\n" );
document.write( "(1512+0)/42=36<BR>\n" );
document.write( "The lowest average will be 36.<BR>\n" );
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document.write( "HIGHEST POSSIBLE AVERAGE:<BR>\n" );
document.write( "If the average of the second class=100, sum of scores for second class:<BR>\n" );
document.write( "24*100=2400<BR>\n" );
document.write( "And combined average:<BR>\n" );
document.write( "(1512+2400)/42=93.14<BR>\n" );
document.write( "The highest average will be 93.14<BR>\n" );
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document.write( "So the possible average range will be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36 ALIGN=MIDDLE  ALT=\"36\"   DISABLED_style= \"max-width:90%; height:auto;\" > < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Average ALIGN=MIDDLE  ALT=\"Average\"   DISABLED_style= \"max-width:90%; height:auto;\" > < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=93.14 ALIGN=MIDDLE  ALT=\"93.14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the correct answer is (C). </SPAN>\n" );
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