document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844964>Question 844964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if two assemblers can assemble two toys in two minutes,how many assemblers would it take to assemble eight toys in six minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509029 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 assemblers can assemble 2 toys in 2 minutes.<BR>\n" );
document.write( "the basic formula to use is:<BR>\n" );
document.write( "p * r * t = q<BR>\n" );
document.write( "p is equal to the number of people who are working.<BR>\n" );
document.write( "r is equal to the average rate of work per minute that each worker is performing at.  the rate is assumed to be the same for each worker.<BR>\n" );
document.write( "t is equal to the time in minutes.<BR>\n" );
document.write( "q is equal to the quantity of work performed.\r<BR>\n" );
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document.write( "in this problem, we are given the following:<BR>\n" );
document.write( "2 assemblers can assemble 2 toys in 2 minutes.<BR>\n" );
document.write( "put this in the formula and we can solve for r, which is the average rate that each person works at.\r<BR>\n" );
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document.write( "the formula of:<BR>\n" );
document.write( "p * r * t = q<BR>\n" );
document.write( "becomes:<BR>\n" );
document.write( "2 * r * 2 = 2<BR>\n" );
document.write( "solve for r to get r = 1/2<BR>\n" );
document.write( "each worker can assemble 1/2 of a toy in one minute.\r<BR>\n" );
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document.write( "now you want to know how many assemblers would it take to assemble 8 toys in 6 minutes.\r<BR>\n" );
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document.write( "the formula of:<BR>\n" );
document.write( "p * r * t = q<BR>\n" );
document.write( "becomes:<BR>\n" );
document.write( "p * 1/2 * 6 = 8<BR>\n" );
document.write( "solve for p to get p = 8/3<BR>\n" );
document.write( "it would take 8/3 workers to assemble 8 toys in 6 minutes.\r<BR>\n" );
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document.write( "to confirm, replace p with 8/3 in the formula to get:<BR>\n" );
document.write( "8/3 * 1/2 * 6 = 8<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "8 = 8<BR>\n" );
document.write( "this confirms that value of p is good.\r<BR>\n" );
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document.write( "if you need to round to a whole person, then the answer would be 3 people would be required.\r<BR>\n" );
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document.write( "in that case, the formula of p * r * t = q would become:<BR>\n" );
document.write( "3 * 1/2 * 6 = q which would simplify to:<BR>\n" );
document.write( "9 = q.<BR>\n" );
document.write( "the 3 people would produce 9 toys in 6 minutes which is the smallest number of toys to be produced in 6 minutes if the workers are assembling toys at the average rate of 1/2 toy per person.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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