document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896197>Question 896197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have to copy a 500-page document.  <BR>\n" );
document.write( "There are two copiers In the office:copier a makes 13 copies in 1 minute and copierb makes 18 copies in 1 minute. Let a be the number of pages you put in copier a. Round your answer to the nearest tenth.<BR>\n" );
document.write( "A. Write an equation you can use to find out how long it will take to make a copy.<BR>\n" );
document.write( "B. How long will it take you to make the copy if you put 200 pages in copier a. Round your answer to the nearest tenth. <BR>\n" );
document.write( "C. Which will be faster, the faster copier, or using both copiers by putting 250 pages in each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543307 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=543307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Uniform Rates, doing a task.\r<BR>\n" );
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document.write( "RATES in copies/minute<BR>\n" );
document.write( "Copier a__________13<BR>\n" );
document.write( "Copier b__________18\r<BR>\n" );
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document.write( "Obviously copier b is the faster copier.<BR>\n" );
document.write( "RT=J for rate, time, quantity of copies, but this rule is for just any one copier.\r<BR>\n" );
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document.write( "Let a = number of copies in copier a<BR>\n" );
document.write( "Let b = number of copies in copier b\r<BR>\n" );
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document.write( "Look at question (C).<BR>\n" );
document.write( "You might look at both copiers operating at the same time for as long as needed for each machine to finish a=b=250.<BR>\n" );
document.write( "Copier b will finish first.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A%28t%2Bx%29=250 ALIGN=MIDDLE  ALT=\"13%2A%28t%2Bx%29=250\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2At=250 ALIGN=MIDDLE  ALT=\"18%2At=250\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "These are arranged showing both take at least t minutes, but copier a will need an additional x minutes to finish its allotment of copies.<BR>\n" );
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document.write( "For copier b, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t=250%2F18=13.8888888888%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=250%2F18=13.8888888888%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is 13 minutes 53 seconds.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "For copier a, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bx=250%2F13 ALIGN=MIDDLE  ALT=\"t%2Bx=250%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=250%2F13-t ALIGN=MIDDLE  ALT=\"x=250%2F13-t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=250%2F13-250%2F18 ALIGN=MIDDLE  ALT=\"x=250%2F13-250%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "some additional arithmetic,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28250%2A18-250%2A13%29%2F%2813%2A18%29 ALIGN=MIDDLE  ALT=\"%28250%2A18-250%2A13%29%2F%2813%2A18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2A5%2F%2813%2A18%29 ALIGN=MIDDLE  ALT=\"250%2A5%2F%2813%2A18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1250%2F%2813%2A18%29 ALIGN=MIDDLE  ALT=\"1250%2F%2813%2A18%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_green%28x=5.342%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=5.342%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes, which is 5 minutes 21 seconds.<BR>\n" );
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document.write( "This means, with 250 copies made in each machine starting at the same time, copier a gives the total time for all 500 copies, requiring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A%28t%2Bx%29=250 ALIGN=MIDDLE  ALT=\"13%2A%28t%2Bx%29=250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2Bx%29=250%2F13 ALIGN=MIDDLE  ALT=\"%28t%2Bx%29=250%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28t%2Bx%29=19.23077%29 ALIGN=MIDDLE  ALT=\"highlight%28%28t%2Bx%29=19.23077%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, decimal approximation for 19 minutes 14 seconds.\r<BR>\n" );
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document.write( "This discussed question (A), did not include question (B), and did most of question (C). </SPAN>\n" );
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