document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126557>Question 126557</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618250034/algebrahomeworkh>Pre-Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A machine can fill 1000 cases of soda cans in 3 hours. a second machine requires 5 hours to fill the same amount. how long will it take both machines to fill an order of 5000 cases? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92704 by </B><A HREF=/tutors/aboutme.mpl?userid=marcsam823><B>marcsam823(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=marcsam823><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=92704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Machine 1:<BR>\n" );
document.write( "1.  can fill 1000 cases of soda in 3 hours, therefore:<BR>\n" );
document.write( "2.  can fill 5000 cases of soda in 15 hours <BR>\n" );
document.write( "3.  can perform 1/15 of this job in one hour <BR>\n" );
document.write( "Machine 2:<BR>\n" );
document.write( "1. can fill 1000 cases of soda in 5 hours, therefore: <BR>\n" );
document.write( "2. can fill 5000 cases of soda in 25 hours<BR>\n" );
document.write( "3. can perform 1/25 of this job in one hour \r<BR>\n" );
document.write( "\n" );
document.write( "In one hour the two machines working together can perform <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F15+%2B+1%2F25 ALIGN=MIDDLE  ALT=\"1%2F15+%2B+1%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F75+%2B+3%2F75 ALIGN=MIDDLE  ALT=\"5%2F75+%2B+3%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F75%29 ALIGN=MIDDLE  ALT=\"%288%2F75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x = the number of hours required for Machine 1 and Machine 2 to fill 5000 cases.<BR>\n" );
document.write( "The number of hours (x) multiplied by the part of the job completed in 1 hour <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F75%29 ALIGN=MIDDLE  ALT=\"%288%2F75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals the total job completed (1 or 100%)<BR>\n" );
document.write( "Set up the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%281%2F15+%2B+1%2F25%29+=+1 ALIGN=MIDDLE  ALT=\"x%281%2F15+%2B+1%2F25%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find lowest common denominator: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%285%2F75+%2B+3%2F75%29+=+1 ALIGN=MIDDLE  ALT=\"x%285%2F75+%2B+3%2F75%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%288%2F75%29+=+1 ALIGN=MIDDLE  ALT=\"x%288%2F75%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+75%2F8 ALIGN=MIDDLE  ALT=\"x+=+75%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9.375 ALIGN=MIDDLE  ALT=\"x+=+9.375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Together the machines can perform this job in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.375 ALIGN=MIDDLE  ALT=\"9.375\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours or about 9 hours and 22 minutes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );