document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774674>Question 774674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 4 men and 6 boys can finish a piece of work in 24 days, in what time will 8 men and 9 boys finish it supposing that 8men can do as much work in 16 hours as 24boys can do in 12hours?<BR>\n" );
document.write( "A.12 days  B.13 1/3 days  C.15 days  D.12 1/2 days </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472411 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=472411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 4 men and 6 boys can finish a piece of work in 24 days,<BR>\n" );
document.write( "Find the number of men and boy days to complete the work<BR>\n" );
document.write( "24(4m) + 24(6b) = (96m + 144b)<BR>\n" );
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document.write( "in what time will 8 men and 9 boys finish it supposing that <BR>\n" );
document.write( ":<BR>\n" );
document.write( "8 men can do as much work in 16 hours as 24 boys can do in 12 hrs?<BR>\n" );
document.write( "16(8m) = 12(24b)<BR>\n" );
document.write( "128m = 288b<BR>\n" );
document.write( "simplify, divide both sides by 32<BR>\n" );
document.write( "4m = 9b<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >b<BR>\n" );
document.write( "m = 2.25b<BR>\n" );
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document.write( "(96m + 144b) = the completed job<BR>\n" );
document.write( "replace m with 2.25b<BR>\n" );
document.write( "96(2.25b) + 144b =<BR>\n" );
document.write( "216b + 144b = 360 boy-days to complete the job<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"in what time will 8 men and 9 boys finish it<BR>\n" );
document.write( "let t = number of days to do the job<BR>\n" );
document.write( "8t + 9t = completed job<BR>\n" );
document.write( "Change 8 men to boys: 8*2.25 = 18 <BR>\n" );
document.write( "18t + 9t = 360<BR>\n" );
document.write( "27t = 360<BR>\n" );
document.write( "t = 360/27<BR>\n" );
document.write( "t = 13.33 days for 8 men and 9 boys to do the job  </SPAN>\n" );
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