document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967726>Question 967726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What volume of each of a 10% acid solution and a 75% acid solution should combined to form 50 mL of a 30% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591456 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=591456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What volume of each of a 10% acid solution and a 75% acid solution should combined to form 50 mL of a 30% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "acid + acid = acid<BR>\n" );
document.write( "0.10x + 0.75(50-x) = 0.30*50<BR>\n" );
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document.write( "10x + 75*50 - 75x = 30*50<BR>\n" );
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document.write( "-65x = -45*50<BR>\n" );
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document.write( "x = (9/13)50<BR>\n" );
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document.write( "x = 34.62 ml (amt. of 10% solution needed)<BR>\n" );
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document.write( "50-x = 15.38 ml (amt. of 75% solution needed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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