document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53351>Question 53351</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534490247/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> This is a good one.  I'm really stuck however and need some help.\r<BR>\n" );
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document.write( "Last week on an algebra test, the highest grade was 9 points less than three times the lowest grade.  The sum of the two grades was 135.  Find the lowest and highest grades on the test. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35616 by </B><A HREF=/tutors/aboutme.mpl?userid=88chaos88><B>88chaos88(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=88chaos88><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=35616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the lowest grade be x.<BR>\n" );
document.write( "Let the highest grade by y.<BR>\n" );
document.write( "<br>x + y = 135 (equation 1) [This means that the sum of the highest and lowest grade is 135]<BR>\n" );
document.write( "y = 3x - 9 (equation 2) [This means that the highest grade is 9 points lesser than 3 times the lowest grade]<BR>\n" );
document.write( "<br>We will now substitute equation 2 into equation 1.<BR>\n" );
document.write( "x + (3x - 9) = 135  [The y in equation 1 is now (3x - 9) from equation 2]<BR>\n" );
document.write( "4x - 9 = 135<BR>\n" );
document.write( "4x = 144<BR>\n" );
document.write( "x = 36<BR>\n" );
document.write( "We now know that the lowest grade is 36.<BR>\n" );
document.write( "<br>y = 135 - 36<BR>\n" );
document.write( "y = 99<BR>\n" );
document.write( "The highest grade is 99. </SPAN>\n" );
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