document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588187>Question 588187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a student's grade in a course is determined by 4 quizzes and 1 exam. If the exam counts twice as much as each of the quizzes, what fraction of the final grade is determined by the exam </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374425 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One way of looking at it is pretending the first 2 quizzes were really one exam and the last 2 quizzes were really another exam. That would be 3 exams worth the same fraction of the grade, so each would be worth 1/3 of the grade.<BR>\n" );
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document.write( "We can make it look a little more complicated, or a lot more complicated, but I will only go for a little.<BR>\n" );
document.write( "If each quiz is worth <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a fraction of the grade, the final is worth <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a fraction of the grade.<BR>\n" );
document.write( "Adding all the fractions of the grade we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1 ALIGN=MIDDLE  ALT=\"1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the grade (as a fraction).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ax%2B2x=6x=1 ALIGN=MIDDLE  ALT=\"4%2Ax%2B2x=6x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F6 ALIGN=MIDDLE  ALT=\"x=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2%2F6 ALIGN=MIDDLE  ALT=\"2x=2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=1%2F3 ALIGN=MIDDLE  ALT=\"2x=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The exam is worth 1/3 of the grade.<BR>\n" );
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document.write( "You could also have calculate what fraction of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x ALIGN=MIDDLE  ALT=\"6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F6x=%282%2F6%29%28x%2Fx%29=2%2F6=1%2F3 ALIGN=MIDDLE  ALT=\"2x%2F6x=%282%2F6%29%28x%2Fx%29=2%2F6=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The exam is worth 1/3 of the grade. </SPAN>\n" );
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