document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203414>Question 203414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five players on the East High basketball team all scored a different number of points in last night’s game. Each player scored more than 9 points. Amanda scored the fewest points and Kara scored the second fewest points. If Kara scored 16 points and 16 points was the average for the five players, how many points did Amanda score? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153466 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=153466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's assume that the five players are called A, B, C, D, and E and that they are listed in increasing numerical sequence of the points scored.<BR>\n" );
document.write( "So, A = Amanda who scored the fewest points and she had to have scored at least 10 points. <BR>\n" );
document.write( "B = Kara who scored 16 points.<BR>\n" );
document.write( "The others we don't know yet. So we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B16%2BC%2BD%2BE%29%2F5+=+16 ALIGN=MIDDLE  ALT=\"%2810%2B16%2BC%2BD%2BE%29%2F5+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the average score is 16 and each player scored more than 9 points.<BR>\n" );
document.write( "Multiply both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826%2BC%2BD%2BE%29+=+80 ALIGN=MIDDLE  ALT=\"%2826%2BC%2BD%2BE%29+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 26 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2BD%2BE+=+54 ALIGN=MIDDLE  ALT=\"C%2BD%2BE+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we know that each player scored a different number of points, so player C must have scored at least 17 points and let's assume that players D and E scored 1 point more than the previous player, so we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817%2B18%2B19%29+=+54 ALIGN=MIDDLE  ALT=\"%2817%2B18%2B19%29+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Hopefully?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54+=+54 ALIGN=MIDDLE  ALT=\"54+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" > Bingo!<BR>\n" );
document.write( "So we can say that Amanda scored 10 points!<BR>\n" );
document.write( "Let's check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B16%2B17%2B18%2B19%29%2F5+=+80%2F5 ALIGN=MIDDLE  ALT=\"%2810%2B16%2B17%2B18%2B19%29%2F5+=+80%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK! <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );