document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25920>Question 25920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the question.  I know that there is a way to set these up, and the instructor said I would start to see a pattern, but she does not explain clearly how to do these.  I am confused.\r<BR>\n" );
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document.write( "60 fluid ounces of a 15% muriatic acid solution is needed to kill algae in a pool.  If the technician has a 5% solution and a pure solution on hand, how many ounces of each must be combined to create the 15% solution?\r<BR>\n" );
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document.write( "I tried to set it up like this:\r<BR>\n" );
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document.write( ".05X+.10(.15-X)=24(.15)\r<BR>\n" );
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document.write( "I am getting my numbers put in the wrong place.  Please help me.<BR>\n" );
document.write( "Thank you.  Donna </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42103 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of ounces of the pure muriatic acid to be combined<BR>\n" );
document.write( "Then 60-x=number of ounces of the 5% muriatic acid solution to be combined\r<BR>\n" );
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document.write( "Now we know that the amt of pure muriatic acid to be combined (x)(1) plus the amt of pure muriatic acid in the 5% solution (60-x)(.05) has to equal the amt of pure muriatic acid in the final mixture (60)(.15).<BR>\n" );
document.write( "Thus, our equation to solve is:<BR>\n" );
document.write( "(x)(1)+(60-x)(.05)=(60)(.15) simplifying, we get:<BR>\n" );
document.write( "x+3-.05x=9 or<BR>\n" );
document.write( ".95x=6<BR>\n" );
document.write( " x=6.31 ounces of pure muriatic acid, and<BR>\n" );
document.write( "60-x=60-6.31=53.69 ounces of 5% solution\r<BR>\n" );
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document.write( "Lets solve this problem again, focusing on the \"otherstuff\" in the muriatic acid solution\r<BR>\n" );
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document.write( "We will still let x=number of ounces of the pure muriatic acid to be combined<BR>\n" );
document.write( "Then 60-x=number of ounces of the 5% muriatic acid solution to be combined\r<BR>\n" );
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document.write( "Now we know that the amt of \"otherstuff\" in the pure muriatic acid to be combined (x)(0) plus the amt of \"otherstuff\" in the 5% solution (60-x)(.95) has to equal the amt of \"otherstuff\" in the final mixture (60)(.85).<BR>\n" );
document.write( "Thus, our equation to solve is:\r<BR>\n" );
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document.write( "(60-x)(.95)=(60)(.85) simplifying, we get:<BR>\n" );
document.write( "57-.95x=51 or<BR>\n" );
document.write( "-.95x=-6<BR>\n" );
document.write( "x=6.31 ounces of pure muriatic acid, and<BR>\n" );
document.write( "60-x=60-6.31=53.69 ounces of 5% solution\r<BR>\n" );
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document.write( "Hope this helps ------- ptaylor </SPAN>\n" );
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