document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97004>Question 97004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me come up with the proper inequality equation?  Thanks!\r<BR>\n" );
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document.write( "Professor Johnson gives 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. The grades are determined from the semester averages by using the table below. If Stan scored only a 64 on the midterm, then for what range of scores on the final exam will Stan get a C or better? Round your answer to one decimal place.\r<BR>\n" );
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document.write( "Grading	Scale<BR>\n" );
document.write( "90 &#8722; 100 A	<BR>\n" );
document.write( "80 &#8722; 89	B<BR>\n" );
document.write( "70 &#8722; 79	C<BR>\n" );
document.write( "60 &#8722; 69	D<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 #70616 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let stan's marks in the end sem be x\r<BR>\n" );
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document.write( "therefore his average marks = 1/3 * 64 + 2/3 * x\r<BR>\n" );
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document.write( "in order for Stan to get a grade C or greater<BR>\n" );
document.write( "he average marks should be greater than or equal to 70\r<BR>\n" );
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document.write( "therefore we have the inequality\r<BR>\n" );
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document.write( "1/3* 64 + 2/3 * x >= 70\r<BR>\n" );
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document.write( "Multiplying by 3 on both sides of the inequality\r<BR>\n" );
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document.write( "64 + 2x >=  210<BR>\n" );
document.write( "2x >= 210-64<BR>\n" );
document.write( "2x >= 146 <BR>\n" );
document.write( "x >= 73\r<BR>\n" );
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document.write( "therefore his range of marks for which he would get a C or better is<BR>\n" );
document.write( "73 to 100 </SPAN>\n" );
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