document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993766>Question 993766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This mixture problem has me stuck. The problem: A hospital needs a 50% dextrose solution. Only a 75% and 40% solution are in stock. How much of the 75% solution should be mixed with 500 oz of the 40% solution to get a 50% dextrose solution. My teacher showed us how to set up the chart with the percentages and how to multiply across and add down but the column where the variables is confusing me.\r<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 #612984 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=612984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sometimes those charts are helpful.\r<BR>\n" );
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document.write( "i'm not sure how helpful they are here.\r<BR>\n" );
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document.write( "the basic problem is this.\r<BR>\n" );
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document.write( "you have two solutions.<BR>\n" );
document.write( "we'll call them A and B.\r<BR>\n" );
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document.write( "A is a 40% solution<BR>\n" );
document.write( "B is a 75% solution\r<BR>\n" );
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document.write( "C is the new solution that you want that is a 50% solution.\r<BR>\n" );
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document.write( "you have 500 ounces of the 40% solution.<BR>\n" );
document.write( "you have x ounces of the 75% solution.<BR>\n" );
document.write( "you will have 500 + x ounces of the 50% solution.\r<BR>\n" );
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document.write( "your equation will be:\r<BR>\n" );
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document.write( ".40 * 500 + .75 * x = .50 * (500 + x)\r<BR>\n" );
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document.write( "you need to solve for x.\r<BR>\n" );
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document.write( "simplify the equation to get:\r<BR>\n" );
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document.write( "200 + .75 * x = 250 + .50 * x\r<BR>\n" );
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document.write( "subtract .50 * x from both sides of the equation and subtract 200 from both sides of the equation to get:\r<BR>\n" );
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document.write( ".75 * x - .50 * x = 250 - 200\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( ".25 * x = 50\r<BR>\n" );
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document.write( "divide both sides of this equation by .25 to get:\r<BR>\n" );
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document.write( "x = 50 / .25 = 200\r<BR>\n" );
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document.write( "go back to your original equation of .40 * 500 + .75 * x = .50 * (500 + x) and replace x with 200 to get:\r<BR>\n" );
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document.write( ".40 * 500 + .75 * 200 = .50 * (500 + 200)\r<BR>\n" );
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document.write( "simplify this equation to get:\r<BR>\n" );
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document.write( "200 + 150 = 250 + 100\r<BR>\n" );
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document.write( "combine like terms on each side of this equation to get:\r<BR>\n" );
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document.write( "350 = 350.\r<BR>\n" );
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document.write( "this confirms the value of x is equal to 200 to be good.\r<BR>\n" );
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document.write( "i had difficulty fitting a chart to this problem.\r<BR>\n" );
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document.write( "best i could come up with it this:\r<BR>\n" );
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document.write( "mix                      A             B            C\r\n" );
document.write( "total ounces             500           x            x + 500\r\n" );
document.write( "persent solution         40%           75%          50%\r\n" );
document.write( "ounces solution          .4 * 500      .75 * x      .50 * (x + 500)\r\n" );
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