document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359159>Question 359159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A reservation clerk worked 14.4 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256405 by </B><A HREF=/tutors/aboutme.mpl?userid=aggie_tutor><B>aggie_tutor(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aggie_tutor><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=aggie_tutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total hours worked: 14.4<BR>\n" );
document.write( "time on entering new = n<BR>\n" );
document.write( "time on verifying old = p<BR>\n" );
document.write( "time on confirming = r<BR>\n" );
document.write( "n + p + r = 14.4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+=+n+ ALIGN=MIDDLE  ALT=\"2p+=+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (two times the old)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%281%2F2%29p+=+r ALIGN=MIDDLE  ALT=\"1%281%2F2%29p+=+r\"   DISABLED_style= \"max-width:90%; height:auto;\" > (one and a half times the old)\r<BR>\n" );
document.write( "\n" );
document.write( "substitute for r and n:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+%2B+p+%2B+1%281%2F2%29p+=+14.4 ALIGN=MIDDLE  ALT=\"2p+%2B+p+%2B+1%281%2F2%29p+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solve for p:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+%2B+1p+%2B+%283%2F2%29p+=+14.4 ALIGN=MIDDLE  ALT=\"2p+%2B+1p+%2B+%283%2F2%29p+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p+%2B+%283%2F2%29p+=+14.4 ALIGN=MIDDLE  ALT=\"3p+%2B+%283%2F2%29p+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to add the fraction to the 3p, you must convert 3p to common denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F1%29+x+%282%2F2%29+=+%286%2F2%29 ALIGN=MIDDLE  ALT=\"%283%2F1%29+x+%282%2F2%29+=+%286%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F2%29p+%2B+%283%2F2%29p+=+14.14 ALIGN=MIDDLE  ALT=\"%286%2F2%29p+%2B+%283%2F2%29p+=+14.14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine the like terms with the numerators on top:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286+%2B+3%29%2F%282%29%29p+=+14.4 ALIGN=MIDDLE  ALT=\"%28%286+%2B+3%29%2F%282%29%29p+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F2%29p+=+14.4 ALIGN=MIDDLE  ALT=\"%289%2F2%29p+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "remove denominator by multiplying both sides by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%289%2F2%29p+=+14.4%282%29 ALIGN=MIDDLE  ALT=\"%282%29%289%2F2%29p+=+14.4%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9p+=+28.8 ALIGN=MIDDLE  ALT=\"9p+=+28.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+28.8+%2F+9 ALIGN=MIDDLE  ALT=\"p+=+28.8+%2F+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+3.2+hours ALIGN=MIDDLE  ALT=\"p+=+3.2+hours\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Now solve for <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p+=+n ALIGN=MIDDLE  ALT=\"2p+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283.2%29+=+n ALIGN=MIDDLE  ALT=\"2%283.2%29+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.4+=+n ALIGN=MIDDLE  ALT=\"6.4+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Time spent on new reservations = n = 6.4 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "Double check your work by finding the r value, time spend confirming:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%281%2F2%29p+=+r ALIGN=MIDDLE  ALT=\"1%281%2F2%29p+=+r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5p+=+r ALIGN=MIDDLE  ALT=\"1.5p+=+r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A3.2+=+4.8+=+r+ ALIGN=MIDDLE  ALT=\"1.5%2A3.2+=+4.8+=+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Time spent on calling to confirm = r = 4.8 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "total time should = 14.4 hours:<BR>\n" );
document.write( "r + n + p = 14.4<BR>\n" );
document.write( "4.8 + 6.4 + 3.2 = 14.4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );