document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404435>Question 404435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student scored five points more on the second quiz than he did on the first quiz. He scored eleven points lower on the third quiz than on the first one. If the average of all three is 70. What was the score on the first quiz? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285904 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=285904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student scored five points more on the second quiz than he did on the first quiz.<BR>\n" );
document.write( " He scored eleven points lower on the third quiz than on the first one.<BR>\n" );
document.write( " If the average of all three is 70.<BR>\n" );
document.write( " What was the score on the first quiz?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = 1st quiz score<BR>\n" );
document.write( "let y = 2nd quiz<BR>\n" );
document.write( "let z = 3rd quiz<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement:<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\"A student scored five points more on the second quiz than he did on the first quiz.\"<BR>\n" );
document.write( "y = (x+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" He scored eleven points lower on the third quiz than on the first one.\"<BR>\n" );
document.write( "z = (x-11)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" If the average of all three is 70. \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%2Bz%29%2F3 ALIGN=MIDDLE  ALT=\"%28x%2By%2Bz%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 70<BR>\n" );
document.write( "Multiply both sides by 2<BR>\n" );
document.write( "x + y + z = 3(70)<BR>\n" );
document.write( "x + y + z = 210<BR>\n" );
document.write( "Replace y with (x+5) and z with (x-11)<BR>\n" );
document.write( "x + (x+5) + (x-11) = 210<BR>\n" );
document.write( "3x - 6 = 210<BR>\n" );
document.write( "3x = 210 + 6<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=216%2F3 ALIGN=MIDDLE  ALT=\"216%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 72 is the score on the 1st quiz<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this<BR>\n" );
document.write( "(72 + 77 + 61) /3 = 70\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );