document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198689>Question 198689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the average (arithmetic mean) of four different positive integers is 50, what<BR>\n" );
document.write( "is the greatest value of one of the integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149196 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2Bx%2By%2Bz%29%2F4=50 ALIGN=MIDDLE  ALT=\"%28w%2Bx%2By%2Bz%29%2F4=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the average equation. We'll make \"z\" the largest number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bx%2By%2Bz=50%2A4 ALIGN=MIDDLE  ALT=\"w%2Bx%2By%2Bz=50%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 5.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bx%2By%2Bz=200 ALIGN=MIDDLE  ALT=\"w%2Bx%2By%2Bz=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=200-w-x-y ALIGN=MIDDLE  ALT=\"z=200-w-x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for \"z\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=200-%28w%2Bx%2By%29 ALIGN=MIDDLE  ALT=\"z=200-%28w%2Bx%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So for \"z\" to be a maximum, the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bx%2By ALIGN=MIDDLE  ALT=\"w%2Bx%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be a minimum. Since the integers are positive and the smallest positive integer is 1, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=x=y=1 ALIGN=MIDDLE  ALT=\"w=x=y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bx%2By=3 ALIGN=MIDDLE  ALT=\"w%2Bx%2By=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=200-3=197 ALIGN=MIDDLE  ALT=\"z=200-3=197\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that the largest integer is 197. </SPAN>\n" );
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