document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616507>Question 616507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do the same piece of work in 4 days. How long will 7 men and 10 boys take to complete the same  work?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387821 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=387821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f 12 men and 16 boys can do a piece of work in 5 days and <BR>\n" );
document.write( "13men and 24 boys can do the same piece of work in 4 days.<BR>\n" );
document.write( " how long will 7 men and 10 boys take to complete the same work?<BR>\n" );
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document.write( "Let b = days required for one boy to do the job<BR>\n" );
document.write( "Let m = days required for one man to do the job<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If 12 men and 16 boys can do a piece of work in 5 days\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%285%29%29%2Fm ALIGN=MIDDLE  ALT=\"%2812%285%29%29%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%285%29%29%2Fb ALIGN=MIDDLE  ALT=\"%2816%285%29%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fm ALIGN=MIDDLE  ALT=\"60%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fb ALIGN=MIDDLE  ALT=\"80%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"13men and 24 boys can do the same piece of work in 4 days.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%284%29%29%2Fm ALIGN=MIDDLE  ALT=\"%2813%284%29%29%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%284%29%29%2Fb ALIGN=MIDDLE  ALT=\"%2824%284%29%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2Fm ALIGN=MIDDLE  ALT=\"52%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2Fb ALIGN=MIDDLE  ALT=\"96%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can combine the two equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fm ALIGN=MIDDLE  ALT=\"60%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fb ALIGN=MIDDLE  ALT=\"80%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2Fm ALIGN=MIDDLE  ALT=\"52%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2Fb ALIGN=MIDDLE  ALT=\"96%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fm ALIGN=MIDDLE  ALT=\"60%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2Fm ALIGN=MIDDLE  ALT=\"52%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2Fb ALIGN=MIDDLE  ALT=\"96%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fb ALIGN=MIDDLE  ALT=\"80%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fm ALIGN=MIDDLE  ALT=\"8%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fb ALIGN=MIDDLE  ALT=\"16%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "8b = 16m<BR>\n" );
document.write( "divide by 8<BR>\n" );
document.write( "b = 2m <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 1st scenario equation to find m, replace b with 2m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fm ALIGN=MIDDLE  ALT=\"60%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F%282m%29 ALIGN=MIDDLE  ALT=\"80%2F%282m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "reduce the fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fm ALIGN=MIDDLE  ALT=\"60%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fm ALIGN=MIDDLE  ALT=\"40%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by m<BR>\n" );
document.write( "60+40 = m<BR>\n" );
document.write( "m = 100 days for one man to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 2(100)<BR>\n" );
document.write( "b = 200 days for one boy to do the job<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" how long will 7men and 10 boys take to complete the same work?<BR>\n" );
document.write( "let t = time required for this to happen<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287t%29%2F100 ALIGN=MIDDLE  ALT=\"%287t%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810t%29%2F200 ALIGN=MIDDLE  ALT=\"%2810t%29%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "reduce the fraction, to give us a common denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287t%29%2F100 ALIGN=MIDDLE  ALT=\"%287t%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t%2F100 ALIGN=MIDDLE  ALT=\"5t%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "mult by 100<BR>\n" );
document.write( "7t + 5t = 100<BR>\n" );
document.write( "12t = 100<BR>\n" );
document.write( "t = 100/12<BR>\n" );
document.write( "t = 8<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 7 men and 10 boys to do the job<BR>\n" );
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