document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933473>Question 933473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A science teacher has a supply of 5% hydrochloric acid and a supply of 65% hydrochloric acid (HCl). How much of each solution should the teacher mix together to get 42 mL of 45% HCl for an experiment?\r<BR>\n" );
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document.write( "I tried to solve this but I got crazy decimals. I do not understand. I'm thinking your're going to have to turn the percents into decimals but I'm not sure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566838 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=566838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The description maybe is forcing you to expect percents as mass per volume; otherwise, you may need to know the densities also.  (65% HCl seems very high.)\r<BR>\n" );
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document.write( "You can handle the arithmetic in decimal numbers if you want.  You do not really need to turn the percents into decimals.  Here, I WILL.\r<BR>\n" );
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document.write( "x for volume of 5%, and y for volume of the \"65%\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=42 ALIGN=MIDDLE  ALT=\"x%2By=42\"   DISABLED_style= \"max-width:90%; height:auto;\" > to account for mililiters of volume, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2Ax%2B0.65%2Ay ALIGN=MIDDLE  ALT=\"0.05%2Ax%2B0.65%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the quantity of PURE HCl.  The concentration as a DECIMAL fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.05x%2B0.65y%29%2F42=0.45 ALIGN=MIDDLE  ALT=\"%280.05x%2B0.65y%29%2F42=0.45\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   That accounts for the concentration as a decimal fraction.\r<BR>\n" );
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document.write( "You know what to do from that?\r<BR>\n" );
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document.write( "A strong suggestion is to solve the system for x and y, but do not do any computations for simplification until LAST. </SPAN>\n" );
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