document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119968>Question 1119968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in each container. Blending 200 mL of the first solution and 700 mL of the second gives a mixture that is 14% acid, whereas blending 300 mL of the first mixed with 900 mL of the second gives a <BR>\n" );
document.write( "14 1/2% acid mixture. What are the concentrations of sulfuric acid in the original containers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735601 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 200x + 700y = 900(0.14)<BR>\n" );
document.write( "300x + 900y = 1200(0.145<BR>\n" );
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document.write( "200x + 700y = 126 (1) multiply all sides times -1.5 and add to (2)<BR>\n" );
document.write( "300x + 900y = 174 (2)<BR>\n" );
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document.write( "300x + 900y = 174<BR>\n" );
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document.write( "-300x + -1050y = -189<BR>\n" );
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document.write( "0x + -150y = -15; y = -15/-150 = 0.1 = 10%<BR>\n" );
document.write( "The concentration of the second solution is 10%<BR>\n" );
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document.write( "200x + 700(0.1) = 126<BR>\n" );
document.write( "200x + 70 = 126<BR>\n" );
document.write( "200x = 56<BR>\n" );
document.write( "x = 0.28<BR>\n" );
document.write( "The concentration of the first solution is 28%<BR>\n" );
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document.write( "Let's see if this is true:<BR>\n" );
document.write( "200x + 700y = 126; 200(.28) + 700(.1) = 126; 56 + 70 = 126 Correct<BR>\n" );
document.write( "300x + 900y = 174; 300(.28)+ 900(.10) = 174; 84 + 90 = 174 Correct<BR>\n" );
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