document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290213>Question 290213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ryan was ill and had to take the calculus test a day late. His 96 was found to raise the class average on the test from 71 to 72. How many students, including Ryan, took the test?\r<BR>\n" );
document.write( "\n" );
document.write( "(1) 22 (2) 24 (3) 26 (4) 28 (5) None of the above\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210006 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=210006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of students who took the test efore Ryna be represented by x.<BR>\n" );
document.write( "The total number of points they scored is their average * their number\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PointsBeforeRyan+=+x+%2A+71 ALIGN=MIDDLE  ALT=\"PointsBeforeRyan+=+x+%2A+71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ryan take the test and gets a 96. So let's add is score to the previous total<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PointsAfterRyan+=+PointsBeforeRyan+%2B+Ryan ALIGN=MIDDLE  ALT=\"PointsAfterRyan+=+PointsBeforeRyan+%2B+Ryan\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PointsAfterRyan+=+71x+%2B+96 ALIGN=MIDDLE  ALT=\"PointsAfterRyan+=+71x+%2B+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You can also calculate the points after Ryan using the average method. However, there is one more student grade, so now we have x+1 students in the average<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PointsAfterRyan+=+%28x%2B1%29+%2A+72 ALIGN=MIDDLE  ALT=\"PointsAfterRyan+=+%28x%2B1%29+%2A+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PointsAfterRyan+=+72x+%2B+72 ALIGN=MIDDLE  ALT=\"PointsAfterRyan+=+72x+%2B+72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thus<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71x+%2B+96+=+72x+%2B+72 ALIGN=MIDDLE  ALT=\"71x+%2B+96+=+72x+%2B+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+x ALIGN=MIDDLE  ALT=\"24+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So there were 24 students who took the test before Ryan took it.\r<BR>\n" );
document.write( "\n" );
document.write( "Adding Ryan to that mix, we get 25 students total.\r<BR>\n" );
document.write( "\n" );
document.write( "Your teacher will expect 'None of the above\"\r<BR>\n" );
document.write( "\n" );
document.write( "For a little fun, ask if answers 1 and 2 are both correct too :) If 25 students took the test, then certainly 21 and 22 students took it as well :) After all, you can't get 25 students to take a test if 21 and 22 didn't as well!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );