document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181588>Question 181588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was wondering if anyone could help me with a mixture\r<BR>\n" );
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document.write( "A chemist needs to prepare 12oz of a 9% hydrochloric acid solution. Find the amount of a 4% solution and the amount of a 12% solution she should mix to get this solution.\r<BR>\n" );
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document.write( "Thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136175 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=136175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total amount of acid is 12*0.09 = 1.08\r<BR>\n" );
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document.write( "Now you need to decide how much 4% needs to be mixed with 12% to yield that same amount of acid.\r<BR>\n" );
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document.write( "Let x be the amount of 4%. Let y be the amount of 12%.<BR>\n" );
document.write( "You know that x + y  = 12<BR>\n" );
document.write( "So y = 12-x\r<BR>\n" );
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document.write( "TotalAcid = 0.04x + 0.12y <BR>\n" );
document.write( "1.08 = 0.04x + 0.12(12-x)<BR>\n" );
document.write( "1.08 = 0.04x + 1.44 - 0.12x<BR>\n" );
document.write( "-0.36 = - 0.08x<BR>\n" );
document.write( "4.5 = x\r<BR>\n" );
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document.write( "That means y = 12-4.5 = 7.5\r<BR>\n" );
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document.write( "So we need 7.5oz og 12% and 4.5oz of 4%\r<BR>\n" );
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document.write( "Make sure to check your answer<BR>\n" );
document.write( "Does 4.5*0.04 + 7.5*0.12 = 12*0.09???\r<BR>\n" );
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