document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619179>Question 619179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of all the 29 people i.e physicians, surgeons and nurses is 696. If the age of each physician, surgeon and nurse be 1 year, 6 year, and 3 years more, then the average age of whole off staffwould have been 3 years more. If the number of surgeon is a square root of a two digit no. which is also a perfect cube, then the no of nurses in hospital is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389503 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of all the ages of 29 people i.e physicians, surgeons and nurses is 696. <BR>\n" );
document.write( "If the age of each physician, surgeon and nurse be 1 year, 6 year, and 3 years more, then the average age of whole off staff would have been 3 years more.<BR>\n" );
document.write( " If the number of surgeon is a square root of a two digit no. which is also a perfect cube, then the no of nurses in hospital is<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let n = number of nurses<BR>\n" );
document.write( "Let p = number of physicians<BR>\n" );
document.write( "Let s = number of surgeons<BR>\n" );
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document.write( "We should be able to find the number of surgeons from the statement:<BR>\n" );
document.write( "\"If the number of surgeon is a square root of a two digit no. which is also a perfect cube\"<BR>\n" );
document.write( "The two digit number would be 64, so we have 8 Surgeons<BR>\n" );
document.write( "Therefore nurses and physicians: 29 - 8 = 21<BR>\n" );
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document.write( "s = 8<BR>\n" );
document.write( "n + p = 21<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If the age of each physician, surgeon and nurse be 1 year, 6 year, and 3 years more, then the average age of whole off staff would have been 3 years more.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281p+%2B+6s+%2B+3n%29%2F29 ALIGN=MIDDLE  ALT=\"%281p+%2B+6s+%2B+3n%29%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "Replace s with 8, mult equation by 29<BR>\n" );
document.write( "p + 6(8) + 3n = 3(29)<BR>\n" );
document.write( "p + 48 + 3n = 87<BR>\n" );
document.write( "p + 3n = 87 - 49<BR>\n" );
document.write( "p + 3n = 39<BR>\n" );
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document.write( "We know p + n = 21, use elimination here<BR>\n" );
document.write( "p + 3n = 39<BR>\n" );
document.write( "p + n = 21<BR>\n" );
document.write( "-------------subtraction eliminates p, find n<BR>\n" );
document.write( "2n = 18<BR>\n" );
document.write( "n = 9 nurses\r<BR>\n" );
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document.write( " </SPAN>\n" );
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