document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273051>Question 273051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Professor williamson counts his midterm as 2.3 of the grade and his final as 1/3 of the grad.  wendy scored only 48on the midterm.  What range of scores on the final exam would put wendy's average b/w 70 and 79 inclusive? \r<BR>\n" );
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document.write( "Compare to previous exercise which is: (Professor Williams give only a midterm exam and a final exam.  The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score.  To get a C Stacey must have a semester average between 70-79 inclusive.  If Stacey scored only 48 on the midterm, then for what range of scores on the final exam will Stacey get a c) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199668 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade.<BR>\n" );
document.write( "wendy scored only 48on the midterm. <BR>\n" );
document.write( "What range of scores on the final exam would put wendy's average b/w 70 and 79 inclusive?<BR>\n" );
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document.write( "let x = grade required for a 70<BR>\n" );
document.write( "Count the midterm grade twice and the final once, so you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848+%2B+48+%2B+x%29%2F3 ALIGN=MIDDLE  ALT=\"%2848+%2B+48+%2B+x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 70<BR>\n" );
document.write( "Multiply both side by 3<BR>\n" );
document.write( "96 + x = 3(70)<BR>\n" );
document.write( "x = 210 - 96<BR>\n" );
document.write( "x = 114, so it's hopeless, cannot make a grade of 70<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Compare to previous exercise which is: (Professor Williams give only a midterm exam and a final exam. <BR>\n" );
document.write( "The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score. <BR>\n" );
document.write( "To get a C Stacey must have a semester average between 70-79 inclusive.<BR>\n" );
document.write( " If Stacey scored only 48 on the midterm, then for what range of scores on the final exam will Stacey get a c)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Count the midterm once and the final twice in this case<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848+%2B+2x%29%2F3 ALIGN=MIDDLE  ALT=\"%2848+%2B+2x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 70<BR>\n" );
document.write( "Multiply both side by 3<BR>\n" );
document.write( "48 + 2x = 3(70)<BR>\n" );
document.write( "2x = 210 - 48<BR>\n" );
document.write( "2x = 162<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162%2F2 ALIGN=MIDDLE  ALT=\"162%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 81, to get a 70 <BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848+%2B+2x%29%2F3 ALIGN=MIDDLE  ALT=\"%2848+%2B+2x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 79<BR>\n" );
document.write( "Multiply both side by 3<BR>\n" );
document.write( "48 + 2x = 3(79)<BR>\n" );
document.write( "2x = 237 - 48<BR>\n" );
document.write( "2x = 189<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=189%2F2 ALIGN=MIDDLE  ALT=\"189%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 94.5, to get a 79<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Grade must be between 81 and 94.5 to have a C <BR>\n" );
document.write( " </SPAN>\n" );
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