document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158177>Question 158177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> eight stock clerks can stock 26,000 cans in 10 hrs.  How long will it take 5 such clerks to stock 16,250 cans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116561 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=116561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> clerks * rate * time = units<BR>\n" );
document.write( "clerks is number of stock clerks<BR>\n" );
document.write( "rate is number of units stocked per hour per stock clerk<BR>\n" );
document.write( "time is in hours.<BR>\n" );
document.write( "units is number of cans stocked.<BR>\n" );
document.write( "let s = number of stock clerks<BR>\n" );
document.write( "let r = number of cans stocked per hour per clerk<BR>\n" );
document.write( "let t = number of hours it took to complete the job<BR>\n" );
document.write( "let c = number of cans stocked in total<BR>\n" );
document.write( "formula becomes<BR>\n" );
document.write( "s*r*t = c<BR>\n" );
document.write( "r = c/h/s = cans stocked per hour per clerk = c/(h*s)<BR>\n" );
document.write( "substituting in the first part of the problem,<BR>\n" );
document.write( "s = 8<BR>\n" );
document.write( "r = r (unknown at this time)<BR>\n" );
document.write( "t = 10<BR>\n" );
document.write( "c = 26000<BR>\n" );
document.write( "equation is s*r*t = c<BR>\n" );
document.write( "substituting in this equation we get<BR>\n" );
document.write( "8*r*10 = 26000<BR>\n" );
document.write( "solving for r, we get<BR>\n" );
document.write( "r = 26000/(8*10) = 325 cans stocked per stock clerk per hour.<BR>\n" );
document.write( "now that we know the rate, we can solve for the second part of the problem.<BR>\n" );
document.write( "same equation is used, i.e. s*r*t = c<BR>\n" );
document.write( "in this case, however,<BR>\n" );
document.write( "s = 5<BR>\n" );
document.write( "r = 325<BR>\n" );
document.write( "t = t (unknown at this time)<BR>\n" );
document.write( "c = 16250<BR>\n" );
document.write( "substituting in the equation s*r*t = c<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "5*325*t = 16250<BR>\n" );
document.write( "solving for t, we get<BR>\n" );
document.write( "t = 16250/(5*325) = 16250 / 1625 = 10<BR>\n" );
document.write( "answer is t = 10 hours.<BR>\n" );
document.write( "so 5 stock clerks working for 10 hours and stocking 325 cans per stock clerk per hour will stock 5*10*325 = 16250 cans. </SPAN>\n" );
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