document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345137>Question 345137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20 hens housed in 3 pens will hatch 30 eggs in 80 days. How long will it take 30 hens in 4 pens to hatch the same number of eggs?\r<BR>\n" );
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document.write( "A roofer takess 12 hours to shingle a roof alone.The roofer and his apprentice work 3 hours,then the roofer quits. The apprentice takes another 12 hours to finish the roof. How long would it take the apprentice alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246871 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 20 hens housed in 3 pens will hatch 30 eggs in 80 days.<BR>\n" );
document.write( " How long will it take 30 hens in 4 pens to hatch the same number of eggs?<BR>\n" );
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document.write( "What has the number of pens got to do with it? Ignore that.<BR>\n" );
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document.write( "Find the number of hen-days required to hatch 30 eggs<BR>\n" );
document.write( "20*80 = 1600 hen days to hatch 30 eggs<BR>\n" );
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document.write( "Let d = no. of days required by 30 hens to do the same thing<BR>\n" );
document.write( "30d = 1600<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2F30 ALIGN=MIDDLE  ALT=\"1600%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 53<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > days for 30 hens to hatch 30 eggs<BR>\n" );
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document.write( "A roofer takes 12 hours to shingle a roof alone.<BR>\n" );
document.write( "The roofer and his apprentice work 3 hours, then the roofer quits. <BR>\n" );
document.write( "The apprentice takes another 12 hours to finish the roof.<BR>\n" );
document.write( "How long would it take the apprentice alone? <BR>\n" );
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document.write( "Let a = time required by the apprentice alone<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "The apprentice works a total of 15 hrs, therefore the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fa ALIGN=MIDDLE  ALT=\"15%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply eq by 12a, results:<BR>\n" );
document.write( "3a + 12(15) = 12a<BR>\n" );
document.write( "180 = 12a - 3a<BR>\n" );
document.write( "180 = 9a<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F3 ALIGN=MIDDLE  ALT=\"180%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 20 hrs alone for the apprentice<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F20 ALIGN=MIDDLE  ALT=\"15%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "reduce fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; confirms our solution of a = 20<BR>\n" );
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