document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364944>Question 364944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you want to mix a 30% solution with a 80% solution to get 40 ounces of a 40% solution. how much of each solution do you need? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260162 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=260162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have a 30% solution and you have an 80% solution.<BR>\n" );
document.write( "you want to get 40 ounces of a 40% solution.\r<BR>\n" );
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document.write( "x = 30% solution<BR>\n" );
document.write( "y = 80% solution\r<BR>\n" );
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document.write( "x + y = 40\r<BR>\n" );
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document.write( ".3x + .8y = .4 * 40\r<BR>\n" );
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document.write( "first equation tells you the total ounces required for the solution.\r<BR>\n" );
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document.write( "second equation tells you the total ounces required for the percent of the solution you are looking for.\r<BR>\n" );
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document.write( "solve these 2 equations simultaneously and you have your answer.\r<BR>\n" );
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document.write( "your 2 equations are:\r<BR>\n" );
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document.write( "x + y = 40<BR>\n" );
document.write( ".3x + .8y = .4*40 = 16\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .3 to get:\r<BR>\n" );
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document.write( ".3x + .3y = 12<BR>\n" );
document.write( ".3x + .8y = 16\r<BR>\n" );
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document.write( "subtract the first equation from the second equation to get:\r<BR>\n" );
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document.write( ".5y = 4\r<BR>\n" );
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document.write( "divide both sides of the resulting equation by .5 to getg:\r<BR>\n" );
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document.write( "y = 8\r<BR>\n" );
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document.write( "since y = 8, then x must equal 32 because x + y = 40\r<BR>\n" );
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document.write( "substitute 32 for x and 8 for y in the second equation to get:\r<BR>\n" );
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document.write( ".3x + .8y = 16 becomes:\r<BR>\n" );
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document.write( ".3*32 + .8*8 = 16 which becomes:\r<BR>\n" );
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document.write( "9.6 + 6.4 = 16 which becomes:\r<BR>\n" );
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document.write( "16 = 16 which is true, confirming that the answer of x = 32 and y = 8 is good.\r<BR>\n" );
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document.write( "In order to get a 40 ounces of a 40% solution, you require 32 ounces of a 30% solution and 8 ounces of an 80% solution.\r<BR>\n" );
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document.write( "16 / 40 = 40% so you're good.\r<BR>\n" );
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document.write( "question was how much of each solution do you need?\r<BR>\n" );
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document.write( "answer is 32 ounces of 30% solution and 8 ounces of 80% solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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