document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189223>Question 1189223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A duck travels from point A to point B. If the duck flies 3/4 of the way, walks 1/9 of the way, and swims the remaining 10 kilometers of her trip, what is the total distance in kilometers traveled by the duck?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820525 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the total disance.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3/4 * x + 1/9 * x + 10 = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply 3/4 * x by 9/9 and multiply 1/9 * x by 4/4 and multiply 1 * x by 36/36 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "27/34 * x + 4/36 * x + 10 = 36/36 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "31/36 * x + 10 = 36/36 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 31/36 * x from both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10 = 36/36 * x - 31/36 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10 = 5/36 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply both sides of the equation by 36/5 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "36/5 * 10 = 36/5 * 5/36 * x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "72 = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the duck flies 3/4 of the way = 3/4 * 72 = 54<BR>\n" );
document.write( "the duck walks 1/9 of the way = 1/9 * 72 = 8<BR>\n" );
document.write( "the duck swims 5/36 of the way = 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the total distance traveled by the duck is 54 + 8 + 10 = 72 kilometers.<BR>\n" );
document.write( "this confirms the solution is correct.<BR>\n" );
document.write( "the solution is that the duck traveled a total of 72 kilometers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );