document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203389>Question 203389</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Cleaning sidewalks. Edgar can blow the leaves off the\r<BR>\n" );
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document.write( "sidewalks around the capitol building in 2 hours using a\r<BR>\n" );
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document.write( "gasoline-powered blower. Ellen can do the same job in\r<BR>\n" );
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document.write( "8 hours using a broom. How long would it take them\r<BR>\n" );
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document.write( "working together?\r<BR>\n" );
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document.write( "Running backs. In the playoff game the ball was carried\r<BR>\n" );
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document.write( "by either Anderson or Brown on 21 plays. Anderson gained\r<BR>\n" );
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document.write( "36 yards, and Brown gained 54 yards. If Brown averaged \r<BR>\n" );
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document.write( "twice as many yards per carry as Anderson, then on how\r<BR>\n" );
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document.write( "many plays did Anderson carry the ball?\r<BR>\n" );
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document.write( "I am really bad at word problems i just never know how to lay them out into an equation. \r<BR>\n" );
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document.write( "I appreciate all your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153460 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=153460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cleaning sidewalks. Edgar can blow the leaves off the<BR>\n" );
document.write( "sidewalks around the capitol building in 2 hours using a<BR>\n" );
document.write( "gasoline-powered blower. Ellen can do the same job in<BR>\n" );
document.write( "8 hours using a broom. How long would it take them<BR>\n" );
document.write( "working together?<BR>\n" );
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document.write( "A typical shared work problem, learn this method and you can handle most of them<BR>\n" );
document.write( "Let t = time required, working together<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F2 ALIGN=MIDDLE  ALT=\"t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 8 and you have<BR>\n" );
document.write( "4t + t = 8<BR>\n" );
document.write( "5t = 8<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1.6 hrs<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6%2F2 ALIGN=MIDDLE  ALT=\"1.6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6%2F8 ALIGN=MIDDLE  ALT=\"1.6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Running backs. In the playoff game the ball was carried<BR>\n" );
document.write( "by either Anderson or Brown on 21 plays. Anderson gained<BR>\n" );
document.write( "36 yards, and Brown gained 54 yards. If Brown averaged<BR>\n" );
document.write( "twice as many yards per carry as Anderson, then on how<BR>\n" );
document.write( "many plays did Anderson carry the ball?<BR>\n" );
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document.write( "let a = no. of plays by Anderson<BR>\n" );
document.write( "let b = no. of plays by Brown <BR>\n" );
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document.write( "total no. of plays:<BR>\n" );
document.write( "a + b = 21<BR>\n" );
document.write( "b = (21-a); use this form for substitution<BR>\n" );
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document.write( "B's av carry = twice A's average carry<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2Fb ALIGN=MIDDLE  ALT=\"54%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2Fa%29 ALIGN=MIDDLE  ALT=\"36%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2Fb ALIGN=MIDDLE  ALT=\"54%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2Fa%29 ALIGN=MIDDLE  ALT=\"72%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "54a = 72b<BR>\n" );
document.write( "Substitute (21-a) for b<BR>\n" );
document.write( "54a = 72(21-a)<BR>\n" );
document.write( "54a = 1512 - 72a<BR>\n" );
document.write( "54a + 72a = 1512<BR>\n" );
document.write( "126a = 1512<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1512%2F126 ALIGN=MIDDLE  ALT=\"1512%2F126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 12 carries for Anderson<BR>\n" );
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document.write( "You should check this solution by finding b and substitution in equation </SPAN>\n" );
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