document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946633>Question 946633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah travel? Draw a model and write an equation to solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577501 by </B><A HREF=/tutors/aboutme.mpl?userid=Techpriest><B>Techpriest(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Techpriest><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=577501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Represent Hannah as H.<BR>\n" );
document.write( "Represent Raoul as R.<BR>\n" );
document.write( "We can assume that Hannah is a quick woman and is able to travel 6 times as fast Raoul does, we can write it in equation form such as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+H+=+6R+ ALIGN=MIDDLE  ALT=\"+H+=+6R+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Based on the information given, we can create an equation based on how Hannah and Raoul travel together.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+H+%2B+R+=+63+ ALIGN=MIDDLE  ALT=\"+H+%2B+R+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Based on the first equation given, we can use the substitution property and substitute H for R, like so the equation is now:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6R+%2B+R+=+63+ ALIGN=MIDDLE  ALT=\"+6R+%2B+R+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can solve the equation to find Raoul's minutes first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6R+%2B+R+=+63+ ALIGN=MIDDLE  ALT=\"+6R+%2B+R+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7R+=+63+ ALIGN=MIDDLE  ALT=\"+7R+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine Like Terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7R%2F7+=+63%2F7+ ALIGN=MIDDLE  ALT=\"+7R%2F7+=+63%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Division Property of Equality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+9+ ALIGN=MIDDLE  ALT=\"+R+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "And since we know what R is, we know how many minutes Hannah can travel since Hannah travel 6 times as Raoul.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+H+=+6%289%29+ ALIGN=MIDDLE  ALT=\"+H+=+6%289%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+H+=+54+ ALIGN=MIDDLE  ALT=\"+H+=+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we know how many minutes does Hannah travel, we must also show work to imply our values are correct.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+H+%2B+R+=+63+ ALIGN=MIDDLE  ALT=\"+H+%2B+R+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54+%2B+9+=+63+ ALIGN=MIDDLE  ALT=\"+54+%2B+9+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+63+=+63+ ALIGN=MIDDLE  ALT=\"+63+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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