document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639081>Question 639081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shirt shop has 112 orders for t-shirt designs. Three designers can make 12 shirts in 2 hours. How many designers are needed to complete the orders in 8 hours? \r<BR>\n" );
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document.write( "I am not a math person, at all. I would be very much obliged if whoever can solve this problem would explain it to me in a VERY simple way. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402583 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A shirt shop has 112 orders for t-shirt designs. Three designers can make 12 shirts in 2 hours. How many designers are needed to complete the orders in 8 hours?\r<BR>\n" );
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document.write( "The amount of designers vary DIRECTLY with the amount of work to be done, but vary INDIRECTLY, or INVERSELY to the amount of time needed. In other words, the more work to be done the more designers are required, hence the DIRECT variation. On the other hand, the greater amount of designers used to design the t-shirts, the less time it'll take to complete the job.\r<BR>\n" );
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document.write( "Having said that, we use the formula combining DIRECT and INDIRECT variations, as follows:\r<BR>\n" );
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document.write( "d = k(j)/T, with:<BR>\n" );
document.write( "d being the amount of designers<BR>\n" );
document.write( "k being the constant of variation<BR>\n" );
document.write( "j being the units of the job<BR>\n" );
document.write( "T being time\r<BR>\n" );
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document.write( "Applying the fact that 3 designers are needed to complete 12 t-shirts in 2 hours, we can determine k, the constant of variation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+k%28j%29%2FT ALIGN=MIDDLE  ALT=\"d+=+k%28j%29%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+k%2812%29%2F2 ALIGN=MIDDLE  ALT=\"3+=+k%2812%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+12k%2F2 ALIGN=MIDDLE  ALT=\"3+=+12k%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "12k = 6 ------ Cross-multiplying\r<BR>\n" );
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document.write( "k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F12 ALIGN=MIDDLE  ALT=\"6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%281%2F2%29j%2FT ALIGN=MIDDLE  ALT=\"d+=+%281%2F2%29j%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and with k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; j (jobs) = 112; and T (time) = 8, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%281%2F2%29%28112%29%2F8 ALIGN=MIDDLE  ALT=\"d+=+%281%2F2%29%28112%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+56%2F8 ALIGN=MIDDLE  ALT=\"d+=+56%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d, or amount of designers needed to complete 112 t-shirts in 8 hours = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287%29 ALIGN=MIDDLE  ALT=\"highlight_green%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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