document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286499>Question 286499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Jill combines 10% fruit juice with PURE fruit juice to make 2 liters of 25% fruit juice. How much pure fruit juice does she use in the mix?\r<BR>\n" );
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document.write( "NOTE:( can you please show the work or somehow explain them so i can understand how to do it..thank you) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207798 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=207798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Jill combines 10% fruit juice with PURE fruit juice to make 2 liters of 25% fruit juice. How much pure fruit juice does she use in the mix? <BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Solution using 2 variable:<BR>\n" );
document.write( "Let x be amount of 10% juice<BR>\n" );
document.write( "Let y = amount of 100% juice<BR>\n" );
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document.write( "Quantity Equation: x + y = 2 liters<BR>\n" );
document.write( "Pure juice Equations: 0.10x + 1.00y = 0.25*2<BR>\n" );
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document.write( "Multiply thru 1st equation by 10<BR>\n" );
document.write( "Multiply thru 2nd equation by 100<BR>\n" );
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document.write( "10x + 10y = 20<BR>\n" );
document.write( "10x + 100y = 25*2<BR>\n" );
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document.write( "Subtract 1st equation from 2nd and solve for \"y\":<BR>\n" );
document.write( "90y = 30<BR>\n" );
document.write( "y = 1/3 liter (amount of pure fruit juice needed for the mixture)<BR>\n" );
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document.write( "Solution using 1 variable:<BR>\n" );
document.write( "Let x be amount of 10% juice.<BR>\n" );
document.write( "Then 2-x is amount of 100% juice<BR>\n" );
document.write( "pure + pure = pure<BR>\n" );
document.write( "0.10x + 1(2-x) = 0.25*2<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "10x + 100(2-x) = 25*2<BR>\n" );
document.write( "10x + 200-100x = 50<BR>\n" );
document.write( "-90x = -150<BR>\n" );
document.write( "x = 15/9<BR>\n" );
document.write( "x = 5/3 liter<BR>\n" );
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document.write( "2-(5/3) = 1/3 liter (amount of pure fruit juice needed for the mixture)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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