document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186933>Question 186933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You wish to mix wine with 25% alcohol and peach schnapps with 50% alcohol to obtain a different drink. How many liters of wine would you need to make 20 liters of the mixture with a 40% alcohol content?\r<BR>\n" );
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document.write( "Could you help me set up the table to solve this I'm completely lost and I don't know where to put what in the table and what to do with it afterword. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140109 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok, YOU DO THE TABLE AND I WILL SET UP THE EQUATION :\r<BR>\n" );
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document.write( "Let x= amount of wine needed<BR>\n" );
document.write( "Then 20-x=amount of peach schnapps needed\r<BR>\n" );
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document.write( "Amount of pure alcohol before the mixture = amount of pure alcohol after they are mixed, so:<BR>\n" );
document.write( "0.25x + 0.50(20-x)=0.40*20 get rid of parens<BR>\n" );
document.write( "0.25x+10-0.50x=8 subtract 10 from each side<BR>\n" );
document.write( "0.25x+10-10-0.50x=8-10 collect like terms<BR>\n" );
document.write( "-0.25x=-2  divide each side by -0.25<BR>\n" );
document.write( "x=8 liters-----------amount of wine needed\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "8*0.25+0.50*12=0.40*20<BR>\n" );
document.write( "2+6=8<BR>\n" );
document.write( "8=8\r<BR>\n" );
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document.write( "Now you could solve  this problem using two unknowns:<BR>\n" );
document.write( "Let x=amount of wine<BR>\n" );
document.write( "y=amount of schnapps<BR>\n" );
document.write( "x+y=20------------------------eq1<BR>\n" );
document.write( "0.25x+0.50y=0.40*20 or<BR>\n" );
document.write( "0.25x+0.50y=8--------------------eq2\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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