document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114594>Question 1114594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Ernsthausen wants to create a sugar solution for her hummingbird feeder. She has a 20% sugar solution. She has learned that a 25% sugar solution is optimal. How many cups of pure sugar and 20% sugar solution does she need to mix together to make two cups of 25% sugar solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753151 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = 20% sugar solution<BR>\n" );
document.write( "y = 100% (pure) sugar solution<BR>\n" );
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document.write( "Make two equations.  The first equation is the total amount of solution.  The second equation is the total amount of sugar in the solution.\r<BR>\n" );
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document.write( "x + y = 2<BR>\n" );
document.write( "0.20x + y = 0.25(2)<BR>\n" );
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document.write( "Clean up the second equation:<BR>\n" );
document.write( "x + y = 2<BR>\n" );
document.write( "0.20x + y = 0.50<BR>\n" );
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document.write( "Multiply the second equation by -1:<BR>\n" );
document.write( "x + y = 2<BR>\n" );
document.write( "-0.20x - y = -0.50<BR>\n" );
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document.write( "Add the two equations together:<BR>\n" );
document.write( "0.80x = 1.50<BR>\n" );
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document.write( "Solve for x:<BR>\n" );
document.write( "x = 1.875<BR>\n" );
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document.write( "We now know the 20% solution (x) is 1.875 cups. Because x + y = 2...or, 1.875 + y = 2...that means the pure sugar solution (y) is 0.125 cups. </SPAN>\n" );
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