document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609660>Question 609660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 18 ounces of Solution A with 72ounces of Solution B gives 90 ounces of a mixture that is 80% salt. Combining 40 ounces of Solution A with 10 ounces of Solution B gives 50 ounces of a mixture that is 65% salt. <BR>\n" );
document.write( "What are the percentages of salt in the two solutions? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383876 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=383876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 18 ounces of Solution A with 72 ounces of Solution B gives 90 ounces of a mixture that is 80% salt. <BR>\n" );
document.write( "Combining 40 ounces of Solution A with 10 ounces of Solution B gives 50 ounces of a mixture that is 65% salt. <BR>\n" );
document.write( "What are the percentages of salt in the two solutions? <BR>\n" );
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document.write( "Both Equations say salt + salt = salt<BR>\n" );
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document.write( "18a + 72b = 80*90<BR>\n" );
document.write( "40a + 10b = 65*50<BR>\n" );
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document.write( "I used a matrix method to solve for a and b:<BR>\n" );
document.write( "a = 60 <BR>\n" );
document.write( "b = 85<BR>\n" );
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document.write( "The percentage of salt in solution A is 60%<BR>\n" );
document.write( "The percentage of salt in solution B is 85%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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