document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897081>Question 897081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A solution that is 30% salt is mixed with a solution that is 40% salt. Which of the following ( 30%, 35%,39%, 40%, and 45%) are not possible choices for the concentration of salt in the resulting mixture.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543959 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the mixture cannot be greater than or equal to 40% since any amount of the 30% salt solution will result in a mixture that is less than 40% salt.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "assume you mixed 10 pounds of 30% solution with 100 pounds of 40% solution.\r<BR>\n" );
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document.write( "the amount of salt in the 30% solution is 3 pounds.<BR>\n" );
document.write( "the amount of salt in the 40% solution is 40 pounds.\r<BR>\n" );
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document.write( "the amount of salt in the combined mixture is 43 pounds out of a total of 110 pounds which results in a ratio of 43/110 which is equal to 39.090909... percent.\r<BR>\n" );
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document.write( "it is mathematically impossible to get an overall mixture greater than or equal to 40 percent.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( ".3 * x + .4 * 100 = .5 * (x + 100)\r<BR>\n" );
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document.write( "we want to find the value of x that will result in an overall mixture of 50%.\r<BR>\n" );
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document.write( "simplify the equation to get:\r<BR>\n" );
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document.write( ".3 * x + 40 = .5 * x + 50\r<BR>\n" );
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document.write( "subtract .5 * x from both sides of the equation and subtract 40 from both sides of the equation to get:\r<BR>\n" );
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document.write( ".3 * x - .5 * x = 50 - 40\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-.2 * x = 10\r<BR>\n" );
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document.write( "solve for x to get x = -50\r<BR>\n" );
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document.write( "the number of pounds of the 30% mixture can't be negative, so getting a 50% solution when you mix a 30% and a 40% solution together is impossible.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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