document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149044>Question 149044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109355 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?<BR>\n" );
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document.write( "First, you have to make sure that all the measurements are the same(if it says Bob can do it in 5 hours, and John can do it in 45 minutes, you have to convert minutes to hours, or hours to minutes) They are all the same in our problem<BR>\n" );
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document.write( "This is the way I usually solve these types of problems<BR>\n" );
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document.write( "You are trying to find out how long it will take them, doing the job together.<BR>\n" );
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document.write( "Here is the formula I use<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F%28how+long+it+takes+for+person%281%29%29%29%2B%28x%2F%28how+long+it+takes+for+person%282%29%29%29%2B%28x%2F%28how+long+it+takes+for+person%283%29%29%29+=+1+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ( If there was another you would add<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F%28how+long+it+takes+for+person%284%29%29%29+ ALIGN=MIDDLE  ALT=\"%28x%2F%28how+long+it+takes+for+person%284%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and so on)<BR>\n" );
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document.write( "The \"x\" is how long it will take for all of them together to get the job done<BR>\n" );
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document.write( "If you add the fractions together it will equal 1 job<BR>\n" );
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document.write( "We can now replace the bottom numbers(denominators) with \"5\",\"10\",\"15\"( that's how long it takes each person)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F5%29%2B%28x%2F10%29%2B%28x%2F15%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2F5%29%2B%28x%2F10%29%2B%28x%2F15%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now solve for \"x\", we will multiply everything by \"30\" to get rid of the denominators, and fractions<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2830%29%28x%2F5%29%2B%2830%29%28x%2F10%29%2B%2830%29%28x%2F15%29+=+%2830%291+ ALIGN=MIDDLE  ALT=\"+%2830%29%28x%2F5%29%2B%2830%29%28x%2F10%29%2B%2830%29%28x%2F15%29+=+%2830%291+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "It will become<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+%2B+3x+%2B+2x+=+30+ ALIGN=MIDDLE  ALT=\"+6x+%2B+3x+%2B+2x+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will add the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11x+=+30+ ALIGN=MIDDLE  ALT=\"+11x+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can divide each side by \"11\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+30%2F11+ ALIGN=MIDDLE  ALT=\"+x+=+30%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If they all work together they can get the job done in 2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F11+ ALIGN=MIDDLE  ALT=\"+8%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes, we can check by replacing \"x\" with \"2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F11+ ALIGN=MIDDLE  ALT=\"+8%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" or \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30%2F11+ ALIGN=MIDDLE  ALT=\"+30%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"  in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%2830%2F11%29%2F5%29%2B%28%2830%2F11%29%2F10%29%2B%28%2830%2F11%29%2F15%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28%2830%2F11%29%2F5%29%2B%28%2830%2F11%29%2F10%29%2B%28%2830%2F11%29%2F15%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%2F11%29%2B%283%2F11%29%2B%282%2F11%29+=+1+ ALIGN=MIDDLE  ALT=\"+%286%2F11%29%2B%283%2F11%29%2B%282%2F11%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2F11+=+1+ ALIGN=MIDDLE  ALT=\"+11%2F11+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+=+1+ ALIGN=MIDDLE  ALT=\"+1+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "They can get the job done in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30%2F11+ ALIGN=MIDDLE  ALT=\"+30%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes, or 2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F11+ ALIGN=MIDDLE  ALT=\"+8%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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