document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195129>Question 1195129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> six student write an exam.the average score obtained on the exam by the group of students is 71% if the first two students each obtained a mark of 73% while the next three students each obtain a mark of 68% what was the mark obtained by the sixth student?<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 #827497 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) A standard solution method, using the standard method of calculating averages....<br><BR>\n" );
document.write( "2 scores of 73, plus 3 scores of 68, plus 1 score of x, makes an average of 71:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2A73%29%2B3%2868%29%2B1%28x%29%29%2F6=71 ALIGN=MIDDLE  ALT=\"%28%282%2A73%29%2B3%2868%29%2B1%28x%29%29%2F6=71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28146%2B204%2Bx%29%2F6=71 ALIGN=MIDDLE  ALT=\"%28146%2B204%2Bx%29%2F6=71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2Bx=426 ALIGN=MIDDLE  ALT=\"350%2Bx=426\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=426-350=76 ALIGN=MIDDLE  ALT=\"x=426-350=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 76<br><BR>\n" );
document.write( "(2) An alternative method that keeps the numbers in the calculations smaller, which can be used in any problem like this where the numbers are all close together....<br><BR>\n" );
document.write( "Compare each number to the average and look at the \"overs\" and \"unders\".  The average is obtained only if the overs and unders are equal.<br><BR>\n" );
document.write( "2 scores of 73, each 2 over the average: +4<BR>\n" );
document.write( "3 scores of 68, each 3 under the average: -9<br><BR>\n" );
document.write( "The balance with those 5 scores is (+4)+(-9) = -5; that means the 6th score must be +5.<br><BR>\n" );
document.write( "ANSWER: 71+5 = 76<br><BR>\n" );
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