document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732409>Question 732409</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 44 ounces of Solution A with 66 ounces of Solution B gives 110 ounces of a mixture that is 55% salt. Combining 14 ounces of Solution A with 56 ounces of Solution B gives 70 ounces of a mixture that is 60 salt. What are the percentages of salt in the two solutions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447838 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=447838\">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 44 ounces of Solution A with 66 ounces of Solution B gives 110 ounces of a mixture that is 55% salt. Combining 14 ounces of Solution A with 56 ounces of Solution B gives 70 ounces of a mixture that is 60 salt. What are the percentages of salt in the two solutions?<BR>\n" );
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document.write( "a is % of salt in A<BR>\n" );
document.write( "b is % of salt in B<BR>\n" );
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document.write( "Note: salt + salt = salt<BR>\n" );
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document.write( "44a + 66b = 55*110<BR>\n" );
document.write( "14a + 56b = 60*70<BR>\n" );
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document.write( "Modify:<BR>\n" );
document.write( "4a + 6b = 55*10<BR>\n" );
document.write( "4a + 16b = 60*20<BR>\n" );
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document.write( "Subtract and solve for \"b\":<BR>\n" );
document.write( "10b = 650<BR>\n" );
document.write( "b = 65% <BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "4a + 16*65 = 60*20<BR>\n" );
document.write( "4a = 160<BR>\n" );
document.write( "a = 40% (<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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