document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519214>Question 519214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLS ANYONE ANSWER THE FF..<BR>\n" );
document.write( "1.)Euclid works 2 times as fast as his siter.Together they cleaned the house in 4 hours.How long would it take each of them to clean the house?<BR>\n" );
document.write( "2.)A small pipe and a large pipe both carry water to storage tank.The large pipe fills the tank twice as fast as the small pipe.When both pipes are used,the tank is filled in 8 hrs.How long would it take the small pipe to fill the tank by itself?<BR>\n" );
document.write( "3.)Working alone a man can mow a lawn in 3hours.His friend can complete the same job in 2hours.How long would it take them working together?<BR>\n" );
document.write( "4.)A rope that is 20 feet long is cut into 2 pieces.The ratio of the smaller piece to the larger piece is 3/5.Find the length of the shorter piece.<BR>\n" );
document.write( "5.)If 561 is divided by a certain number,the quotient is 29 and the remainder is        10.Find the number.<BR>\n" );
document.write( ".need help..PLEASE!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345491 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=345491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first three problems are all \"shared work\" problems and can be done in the same way.<BR>\n" );
document.write( " I will complete the 1st one, and give the equation for the other two for you to do yourself.<BR>\n" );
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document.write( "1.)Euclid works 2 times as fast as his sitter.<BR>\n" );
document.write( "Together they cleaned the house in 4 hours.<BR>\n" );
document.write( "How long would it take each of them to clean the house?<BR>\n" );
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document.write( "let t = time for E to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2t = time for his sitter to do the job<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=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%282t%29 ALIGN=MIDDLE  ALT=\"4%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2t to get rid of the denominators<BR>\n" );
document.write( "2t*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2t*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%282t%29 ALIGN=MIDDLE  ALT=\"4%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2t(1)<BR>\n" );
document.write( "cancel the denominators, resulting in:<BR>\n" );
document.write( "2(4) + 4 = 2t<BR>\n" );
document.write( "8 + 4 = 2t<BR>\n" );
document.write( "12 = 2t<BR>\n" );
document.write( "t = 12/2<BR>\n" );
document.write( "t = 6 hrs for E to do the job alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(6) = 12 hrs for his sitter to do it<BR>\n" );
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document.write( "Check these solutions ensuring that the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F12 ALIGN=MIDDLE  ALT=\"4%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "2.)A small pipe and a large pipe both carry water to storage tank.<BR>\n" );
document.write( "The large pipe fills the tank twice as fast as the small pipe.<BR>\n" );
document.write( "When both pipes are used, the tank is filled in 8 hrs.<BR>\n" );
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document.write( "let t = time for the large pipe to fill the tank<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2t = time required by the smaller pipe<BR>\n" );
document.write( "let the completed job = 1 (full tank)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ft ALIGN=MIDDLE  ALT=\"8%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%282t%29 ALIGN=MIDDLE  ALT=\"8%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "3.)Working alone a man can mow a lawn in 3hours.<BR>\n" );
document.write( "His friend can complete the same job in 2hours.<BR>\n" );
document.write( "How long would it take them working together?<BR>\n" );
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document.write( "let t = time required when working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 1<BR>\n" );
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document.write( "4.)A rope that is 20 feet long is cut into 2 pieces.The ratio of the smaller piece to the larger piece is 3/5.<BR>\n" );
document.write( "Find the length of the shorter piece.<BR>\n" );
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document.write( "let x = the multiplier<BR>\n" );
document.write( "3x + 5x = 20<BR>\n" );
document.write( "8x = 20<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F8 ALIGN=MIDDLE  ALT=\"20%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2.5 is the multiplier<BR>\n" );
document.write( "the shorter rope (3x); 3*2.5 = 7.5 ft<BR>\n" );
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document.write( "5.)If 561 is divided by a certain number,the quotient is 29 and the remainder is 10.<BR>\n" );
document.write( "Find the number.<BR>\n" );
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document.write( "Let n = \"that certain number\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=561%2Fn ALIGN=MIDDLE  ALT=\"561%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 29 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fn ALIGN=MIDDLE  ALT=\"10%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply thru by n, results:<BR>\n" );
document.write( "561 = 29n + 10<BR>\n" );
document.write( "561 - 10 = 29n<BR>\n" );
document.write( "551 = 29n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=551%2F29 ALIGN=MIDDLE  ALT=\"551%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 19 is the number<BR>\n" );
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document.write( "Let me know how you do on these.  C </SPAN>\n" );
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