document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632799>Question 632799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a student's three scores is 212.  If the first is 20 points more than the second, and the sum of the first two is 32 more than twice the third, what was the first score? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398529 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=398529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three scores, a, b, c<BR>\n" );
document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "The sum of a student's three scores is 212.<BR>\n" );
document.write( "a + b + c = 212<BR>\n" );
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document.write( " If the first is 20 points more than the second,<BR>\n" );
document.write( "a = b+20<BR>\n" );
document.write( "a - b = 20<BR>\n" );
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document.write( "and the sum of the first two is 32 more than twice the third,<BR>\n" );
document.write( "a + b = 2c + 32<BR>\n" );
document.write( "a + b - 2c = 32<BR>\n" );
document.write( "Subtract from the 1st equation<BR>\n" );
document.write( "a + b + c = 212<BR>\n" );
document.write( "a + b -2c =  32<BR>\n" );
document.write( "----------------subtraction eliminates a and b<BR>\n" );
document.write( "3c = 180<BR>\n" );
document.write( "c = 180/3<BR>\n" );
document.write( "c = 60 the 3rd score<BR>\n" );
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document.write( "Find a<BR>\n" );
document.write( "a + b + 60 = 212<BR>\n" );
document.write( "subtract 60 from both sides<BR>\n" );
document.write( "a + b = 152<BR>\n" );
document.write( "Add a - b = 20 to the above equation <BR>\n" );
document.write( "a + b = 152<BR>\n" );
document.write( "a - b = 20<BR>\n" );
document.write( "-------------addition eliminates b, find a<BR>\n" );
document.write( "2a = 172<BR>\n" );
document.write( "a = 172/2<BR>\n" );
document.write( "a = 86 is the 1st score<BR>\n" );
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document.write( "To confirm this find b<BR>\n" );
document.write( "86 - b = 20<BR>\n" );
document.write( "b = 66<BR>\n" );
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document.write( "Total of all three scores<BR>\n" );
document.write( "86 + 66 + 60 = 212\r<BR>\n" );
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document.write( " </SPAN>\n" );
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