document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203761>Question 203761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve, Iam unsure how to set up the problem... it shows in the book also but I cannot understand the explanation\r<BR>\n" );
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document.write( "#10.  A student finishes the first half of an exam in 2/3 the time it takes to finish the second half . If the entire exam takes an hour, how many minutes does she spend on the first half of the exam? \r<BR>\n" );
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document.write( "The back of the book sets up the problem like this... 5/3S = 60, then <BR>\n" );
document.write( "3/5 * 5/3S = 3/5*60, then S=36....\r<BR>\n" );
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document.write( "I do not understand how they came up with the 5/3, then I figured 2/3 + 2/3 + 1hr = 5/3, but why did they multiply the recipricols and then place 3/5 on the other side *60? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153735 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=153735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let F = the time taken to finish the first half of the exam.<BR>\n" );
document.write( "Let S = the time taken to finish the second half of the exam.<BR>\n" );
document.write( "F+S = 1 hour or...<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%2BS+=+60 ALIGN=MIDDLE  ALT=\"F%2BS+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes. and...<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+%282%2F3%29%2AS ALIGN=MIDDLE  ALT=\"F+=+%282%2F3%29%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"...student finishes the first half of the exam (F) in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > the time it takes to finish the second half of the exam <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%2AS ALIGN=MIDDLE  ALT=\"%282%2F3%29%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "From this we can write the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%2BS+=+60 ALIGN=MIDDLE  ALT=\"F%2BS+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute from equation 2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+%282%2F3%29%2AS ALIGN=MIDDLE  ALT=\"F+=+%282%2F3%29%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2F3%29S%29%2BS+=+60 ALIGN=MIDDLE  ALT=\"%28%282%2F3%29S%29%2BS+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the S-terms on the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29S+=+60 ALIGN=MIDDLE  ALT=\"%285%2F3%29S+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29%283%2F5%29S+=+%283%2F5%29%2860%29 ALIGN=MIDDLE  ALT=\"%285%2F3%29%283%2F5%29S+=+%283%2F5%29%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+36 ALIGN=MIDDLE  ALT=\"S+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+%282%2F3%29S ALIGN=MIDDLE  ALT=\"F+=+%282%2F3%29S\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+%282%2F3%29%2836%29 ALIGN=MIDDLE  ALT=\"F+=+%282%2F3%29%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28F+=+24%29 ALIGN=MIDDLE  ALT=\"highlight%28F+=+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >minutes.<BR>\n" );
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