document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620122>Question 620122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> kesha and pink can paint a room together in eight hours. if kesha worked alone for three hours and then was joined by pink, the two can complete the job in six more hours. how long will it take each person to paint the room?<BR>\n" );
document.write( "pls. help me, i tried to answer but i was not able to :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389983 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=389983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> kesha and pink can paint a room together in eight hours.<BR>\n" );
document.write( " if kesha worked alone for three hours and then was joined by pink, the two can complete the job in six more hours.<BR>\n" );
document.write( " how long will it take each person to paint the room?<BR>\n" );
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document.write( "Let k = time required by K to paint the room alone<BR>\n" );
document.write( "Let p = time required by P to do it<BR>\n" );
document.write( "Let the completed job = 1 (a painted room)<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"kesha and pink can paint a room together in eight hours.\" <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fk ALIGN=MIDDLE  ALT=\"8%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fp ALIGN=MIDDLE  ALT=\"8%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "\"If kesha worked alone for three hours and then was joined by pink, the two can complete the job in six more hours.\"<BR>\n" );
document.write( "K works a total of 9 hrs, P works 6 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fk ALIGN=MIDDLE  ALT=\"9%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fp ALIGN=MIDDLE  ALT=\"6%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Combine the two equations, they both = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fk ALIGN=MIDDLE  ALT=\"9%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fp ALIGN=MIDDLE  ALT=\"6%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fk ALIGN=MIDDLE  ALT=\"8%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fp ALIGN=MIDDLE  ALT=\"8%2Fp\"   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=9%2Fk ALIGN=MIDDLE  ALT=\"9%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fk ALIGN=MIDDLE  ALT=\"8%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fp ALIGN=MIDDLE  ALT=\"8%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fp ALIGN=MIDDLE  ALT=\"6%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ": <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fk ALIGN=MIDDLE  ALT=\"1%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fp ALIGN=MIDDLE  ALT=\"2%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply <BR>\n" );
document.write( "p = 2k<BR>\n" );
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document.write( "Use the 1st equation, replace p with 2k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fk ALIGN=MIDDLE  ALT=\"8%2Fk\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%282k%29 ALIGN=MIDDLE  ALT=\"8%2F%282k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2k to get rid of the denominators<BR>\n" );
document.write( "2(8) + 8 = 2k<BR>\n" );
document.write( "24 = 2k<BR>\n" );
document.write( "k = 12 hr for K to paint the room alone<BR>\n" );
document.write( "then we know p = 2k, therefore:<BR>\n" );
document.write( "2(12) = 24 hrs for P to paint the room alone<BR>\n" );
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document.write( "Check our solutions in the statement:<BR>\n" );
document.write( "\"if kesha worked alone for three hours and then was joined by pink, the two can complete the job in six more hours.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F12 ALIGN=MIDDLE  ALT=\"9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24 ALIGN=MIDDLE  ALT=\"6%2F24\"   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=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 1; confirms our solutions<BR>\n" );
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document.write( "Did I make this understandable to you?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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