document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831103>Question 831103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need not only answer,but solution too:<BR>\n" );
document.write( "A team of six girls, whose average height was 1.50m, realised that if they stood in order of height, each one was 2cm taller than the next. When a seventh girl joined them, the team’s average height increased by 1%. Find a) the height of the shortest girl and b) the height of the girl who joined the team last. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501138 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's work in cm only.  And let A be the tallest girl, and so forth.<BR>\n" );
document.write( "Here's what the question tells you:<BR>\n" );
document.write( "(A + B + C + D + E + F)/6 = 150<BR>\n" );
document.write( "B = A-2<BR>\n" );
document.write( "C = A-4<BR>\n" );
document.write( "D = A-6<BR>\n" );
document.write( "E = A-8<BR>\n" );
document.write( "F = A-10 <BR>\n" );
document.write( "We can substitute these values into the original equation<BR>\n" );
document.write( "[A + (A-2) + (A-4) + (A-6) + (A-8) + (A-10)]/6 = 150<BR>\n" );
document.write( "Multiply by 6 to get rid of that pesky fraction<BR>\n" );
document.write( "[A + (A-2) + (A-4) + (A-6) + (A-8) + (A-10)] = 900<BR>\n" );
document.write( "Add the As<BR>\n" );
document.write( "6A -2 -4 -6 -8 -10 = 900<BR>\n" );
document.write( "Add the numbers<BR>\n" );
document.write( "6A -30 = 900<BR>\n" );
document.write( "Add 30 to each side<BR>\n" );
document.write( "6A = 930<BR>\n" );
document.write( "Divide each side by 6<BR>\n" );
document.write( "A = 155<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The tallest girl is 155cm.  Therefore, the other original girls are 153, 151, 149, 147, 145 <<--shortest girl.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6 girls * 150 = 900<BR>\n" );
document.write( ".<BR>\n" );
document.write( "But the girls' height increased by 1% when girl 7 joined.<BR>\n" );
document.write( "[7 girls * 151.5 (1% increase of 150)]/7 = G (height of 7th girl)<BR>\n" );
document.write( "1060.5 / 7 = 151.5 <<--new girl\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );