document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202956>Question 202956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 33 inch wooden board is cut into two pieces. The longer piece is 3 inches less than twice the other piece. find the shorter piece.\r<BR>\n" );
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document.write( "when 10 is added to one-third of a number, the result is the same as if eight had been subtracted from twice the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153127 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=153127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Let a be the length of the shorter piece and b = the length of the longer piece.<BR>\n" );
document.write( "a+b = 33<BR>\n" );
document.write( "b = 2a-3 Substitute this into the first equation.<BR>\n" );
document.write( "a+(2a-3) = 33 Solve for a.<BR>\n" );
document.write( "3a-3 = 33 Add 3 to both sides.<BR>\n" );
document.write( "3a = 36  Divide both sides by 3.<BR>\n" );
document.write( "a = 12<BR>\n" );
document.write( "The shorter piece is 12 inches long.<BR>\n" );
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document.write( "Let n be the missing number, then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29n%2B10+=+2n-8 ALIGN=MIDDLE  ALT=\"%281%2F3%29n%2B10+=+2n-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B30+=+6n-24 ALIGN=MIDDLE  ALT=\"n%2B30+=+6n-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+=+5n-24 ALIGN=MIDDLE  ALT=\"30+=+5n-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 24 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54+=+5n ALIGN=MIDDLE  ALT=\"54+=+5n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n+=+10.8%29 ALIGN=MIDDLE  ALT=\"highlight%28n+=+10.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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