document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099920>Question 1099920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soft drink industry wants to make orange drink with a 40% content of orange juice. It has two types of orange drink: The first contains 80% pure juice and the second 20%. How many liter to mix from the second kind with 1000 liter of the first </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714421 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1000 = number of liters of the first juice.<BR>\n" );
document.write( "y = number of liters of the second juice.\r<BR>\n" );
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document.write( "total number of liters of both juices = 1000 + y.\r<BR>\n" );
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document.write( "first juice has 80% pure orange juice.<BR>\n" );
document.write( "second juice has 20% pure orange juice.\r<BR>\n" );
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document.write( "you want to have a combined mixture of 40% pure orange juice.\r<BR>\n" );
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document.write( ".8 * 1000 + .2 * y = .4 * (1000 + y)\r<BR>\n" );
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document.write( "simplify to get 800 + .2 * y = 400 + .4 * y\r<BR>\n" );
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document.write( "subtract 400 from both sides of this equation and subtract .2 * y from both sides of this equation to get:\r<BR>\n" );
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document.write( "400 = .2 * y\r<BR>\n" );
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document.write( "divide both sides of this equation by .2 and solve for y to get:\r<BR>\n" );
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document.write( "y = 400 / .2 = 2000.\r<BR>\n" );
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document.write( "1000 liters of 80% pure orange juice contains 800 liters of pure orange juice.<BR>\n" );
document.write( "2000 liters of 20% pure orange juice contains 400 liters of pure orange juice.\r<BR>\n" );
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document.write( "total liters of juice is 3000<BR>\n" );
document.write( "total liters of contained pure orange juice is 1200 liters.<BR>\n" );
document.write( "1200 / 3000 = .4 = 40%\r<BR>\n" );
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document.write( "solution is confirmed to be good.\r<BR>\n" );
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document.write( "solution is 2000 liters of the second juice needs to be mixed with 1000 liters of the first juice.\r<BR>\n" );
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