document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158001>Question 1158001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many liters each of a 50% acid solution and a 75% acid solution must be used to produce 60 liters of a 65% acid solution?  (Round to two decimal places if necessary.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780918 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=780918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you start with v for how much of 75%, and 60-v for how much 50%, you can form equation   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75v%2B50%2860-v%29=65%2A60 ALIGN=MIDDLE  ALT=\"75v%2B50%2860-v%29=65%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, from which you will find:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=60%28%2865-50%29%2F%2875-50%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=60%28%2865-50%29%2F%2875-50%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can see in this solution formula a possible easy way to form a necessary fraction, to multiply by the mixture size of 60L.\r<BR>\n" );
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document.write( "More generally for two-part mixture,\r<BR>\n" );
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document.write( "H, the high concentration percent<BR>\n" );
document.write( "L, the low conc percent<BR>\n" );
document.write( "T, target conc. percent<BR>\n" );
document.write( "M, the size of result mixture<BR>\n" );
document.write( "v, amount of the H material\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Hv%2BL%28M-v%29=TM ALIGN=MIDDLE  ALT=\"Hv%2BL%28M-v%29=TM\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and solving this for v will give\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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