document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068851>Question 1068851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average age of 5 teachers of a school was 48.From them a teacher of age 56 was retired and a new teacher came.The present average age is 46.What is the age of the new teacher? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684101 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For any set of numbers, average = (sum of the values)/(number of values), so for the ages of 5 teachers, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=average+=+sum%2F5 ALIGN=MIDDLE  ALT=\"average+=+sum%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aaverage=sum ALIGN=MIDDLE  ALT=\"5%2Aaverage=sum\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The sum of the 5 teachers ages was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A48=240 ALIGN=MIDDLE  ALT=\"5%2A48=240\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "THE FIFTH GRADER'S SOLUTION: <BR>\n" );
document.write( "After new teacher came, there were again 5 teachers,<BR>\n" );
document.write( "with 4 teachers that were teachers in the school before,<BR>\n" );
document.write( "and the new teacher replacing the one who retired.<BR>\n" );
document.write( "The problem tells me that the average for those 5 teachers is now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46 ALIGN=MIDDLE  ALT=\"46\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "soI know that the sum of those 5 teachers' ages is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum=5%2A46=230 ALIGN=MIDDLE  ALT=\"sum=5%2A46=230\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240-230=10 ALIGN=MIDDLE  ALT=\"240-230=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > less than the sum was before,<BR>\n" );
document.write( "so the new teacher must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > years younger than the one who retired.<BR>\n" );
document.write( "The age of the new teacher is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56-10=highlight%2846%29 ALIGN=MIDDLE  ALT=\"56-10=highlight%2846%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "THE ALGEBRA STUDENT'S THINKING:<BR>\n" );
document.write( "After a teacher of age 56 retired,<BR>\n" );
document.write( "the sum of the ages of the remaining 4 teachers was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240-56=184 ALIGN=MIDDLE  ALT=\"240-56=184\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After new teacher of age <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > came,<BR>\n" );
document.write( "there were again 5 teachers,<BR>\n" );
document.write( "with 4 teachers that were teachers in the school before,<BR>\n" );
document.write( "and the new teacher replacing the one who retired.<BR>\n" );
document.write( "The sum of their ages is now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum=184%2Bx ALIGN=MIDDLE  ALT=\"sum=184%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the average is now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28184%2Bx%29%2F5=46 ALIGN=MIDDLE  ALT=\"%28184%2Bx%29%2F5=46\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is the equation we need to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28184%2Bx%29%2F5=46 ALIGN=MIDDLE  ALT=\"%28184%2Bx%29%2F5=46\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=184%2Bx=46%2A5 ALIGN=MIDDLE  ALT=\"184%2Bx=46%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=184%2Bx=230 ALIGN=MIDDLE  ALT=\"184%2Bx=230\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=230-184 ALIGN=MIDDLE  ALT=\"x=230-184\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=46%29 ALIGN=MIDDLE  ALT=\"highlight%28x=46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that I know algebra,<BR>\n" );
document.write( "I am really going to be able to answer<BR>\n" );
document.write( "all those tricky SAT questions quickly. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );