document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937592>Question 937592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying  to make a mixed drink,  called a johnny jump up. Its 15 oz . 14 oz of 20% alcohol cider... and 1 oz of Jameson. \r<BR>\n" );
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document.write( "But the issue is I don't have a 20% cider. I have a 50% alcohol apple jack and 5% alcohol angry orchard.  What is the formula to mix these two liquors to come up with a solution that is roughly 20% in alcohol in mixture?\r<BR>\n" );
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document.write( "Thank you from a amateur mixologist who is racking his brain to try and figure out the math he forgot in school. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570985 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=570985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount of alcohol apple jack (in ounces)<BR>\n" );
document.write( "y = amount of alcohol angry orchard (in ounces)\r<BR>\n" );
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document.write( "You want 14 oz of alcohol cider, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=14 ALIGN=MIDDLE  ALT=\"x%2By=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since you mix those two to get 14 oz)\r<BR>\n" );
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document.write( "Solve for y to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14-x ALIGN=MIDDLE  ALT=\"y=14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\"I have a 50% alcohol apple jack and 5% alcohol angry orchard\", so this means we have this equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05y+=+0.2%2A14 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05y+=+0.2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We have 0.5x oz of pure alcohol from the apple jack and 0.05y oz of pure alcohol from the angry orchard. These two amounts of pure alcohol will combine to be equal to 0.2*14 because you'll have 0.2*14 oz of pure alcohol (you want 20% of pure alcohol in the final mix)\r<BR>\n" );
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document.write( "We will use the equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05y+=+0.2%2A14 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05y+=+0.2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14-x ALIGN=MIDDLE  ALT=\"y=14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find x & y. First we need to find x. So let's plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14-x ALIGN=MIDDLE  ALT=\"y=14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05y+=+0.2%2A14 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05y+=+0.2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" > like so...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05y+=+0.2%2A14 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05y+=+0.2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05y+=+2.8 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05y+=+2.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05%2814-x%29+=+2.8 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05%2814-x%29+=+2.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14-x ALIGN=MIDDLE  ALT=\"14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.05%2814%29-0.05x+=+2.8 ALIGN=MIDDLE  ALT=\"0.5x%2B0.05%2814%29-0.05x+=+2.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute. Now we isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%262%2F3 ALIGN=MIDDLE  ALT=\"x+=+4%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "---------------------------------------------------------------------------------------------------------------\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%262%2F3 ALIGN=MIDDLE  ALT=\"x+=+4%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%26+2%2F3 ALIGN=MIDDLE  ALT=\"4+%26+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (4 and two-thirds) oz of apple jack. Use this to find y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=14-x ALIGN=MIDDLE  ALT=\"y=14-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9%261%2F3 ALIGN=MIDDLE  ALT=\"y=9%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%261%2F3 ALIGN=MIDDLE  ALT=\"9%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > oz of angry orchard. </SPAN>\n" );
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