document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045511>Question 1045511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain course, students take 8 exams that are graded on a scale from 0 to 100, inclusive. Jacob received an average score of 65 on his first 4 exams. What is the lowest score he can receive on his 5th exam and still be able to score an average of 75 for all 8 exams? <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 #661124 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if his overall score need to be an average of 75 for each of the 8 tests, than the total score for all 8 tests needs to be 8 * 75 = 600.\r<BR>\n" );
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document.write( "he already got an average of 65 for the first 4 tests.\r<BR>\n" );
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document.write( "that's a total of 4 * 65 = 260 for the first 4 tests.\r<BR>\n" );
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document.write( "to get an average of 75 on all 8 tests, he needs to get a total of 8*75 = 600.\r<BR>\n" );
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document.write( "subtract 260 from 600 and you get 340.\r<BR>\n" );
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document.write( "that's the total he needs to get on the last 4 tests.\r<BR>\n" );
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document.write( "assuming he got 100 on each of test 6,7,8, then that leaves 40 for test 5.\r<BR>\n" );
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document.write( "that's the least he can get on test 5 and still be able to get an average of 75 for all 8 tests.\r<BR>\n" );
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document.write( "you've got 260 for the first 4 tests plus 300 for the last 3 tests which leaves 40 for the fifth test.\r<BR>\n" );
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document.write( "anything less than 40 on the fifth test and it will be impossible for him to score an average of 75 on all 8 tests.\r<BR>\n" );
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