document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7648>Question 7648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Clyde took a taxi 1/4 of the distance to Bonnie's house and a bus for 1/3 of the distance to her house.  Finally, he walked the remaining 5 miles to her house.  How many miles did Clyde travel in total?\r<BR>\n" );
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document.write( "I don't understand how to set up the problem.  Thanks!   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4233 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=4233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the total distance D. 1/4 of the distance would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F4%29D+ ALIGN=MIDDLE  ALT=\"+%281%2F4%29D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The next 1/3 of the distance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29D+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and after both distances are covered, there are 5 miles to go. So, just add up the three distances and they all should equal D:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F4%29D+%2B+%281%2F3%29D+%2B+5+=+D+ ALIGN=MIDDLE  ALT=\"+%281%2F4%29D+%2B+%281%2F3%29D+%2B+5+=+D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- You've got fractions to work with here, so hang on.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+D+-+%281%2F4%29D+-+%281%2F3%29D+ ALIGN=MIDDLE  ALT=\"+5+=+D+-+%281%2F4%29D+-+%281%2F3%29D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- We just moved the fractional terms to the other side so they could be combined since they are like terms.\r<BR>\n" );
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document.write( "The right side of the equation really is a task for you to compute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+1%2F4+-+1%2F3+ ALIGN=MIDDLE  ALT=\"+1+-+1%2F4+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I trust that you know how to do that. That's actually equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F12+-+3%2F12+-+4%2F12+ ALIGN=MIDDLE  ALT=\"+12%2F12+-+3%2F12+-+4%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which brings you to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F12+ ALIGN=MIDDLE  ALT=\"+5%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The right side of your equation would then be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2F12%29D+ ALIGN=MIDDLE  ALT=\"+%285%2F12%29D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+%285%2F12%29D+ ALIGN=MIDDLE  ALT=\"+5+=+%285%2F12%29D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- the 1 - 1/4 - 1/3, then multiplied by D\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%2812%2F5%29+=+D+ ALIGN=MIDDLE  ALT=\"+5%2A%2812%2F5%29+=+D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- multiply both sides by the reciprocal of 5/12, which is 12/5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D+=+12+ ALIGN=MIDDLE  ALT=\"+D+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- the 5 in the numerator cancels with the 5 in the denominator. The trip was 12 miles total. </SPAN>\n" );
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