document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44269>Question 44269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Travis Hayes needs 10% hydrochloric acid for a chemistry experiment.  How much 5% acid should be mixed with 60 mL of 20% acid to get a 10% solution?\r<BR>\n" );
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document.write( "acrown1@umbc.edu </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29191 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=29191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "The acid percentage of the mix will be given by the formula:\r<BR>\n" );
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document.write( "(Amount of X/Total Amount)*(%acid in X) + (Amount of Y/Total Amount)*(%acid in Y)\r<BR>\n" );
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document.write( "In your case, let's call Y to the 20% acid. We know that you have 60 mL of this. Let's call X to the amount we need to add of the 5% acid.\r<BR>\n" );
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document.write( "Once we add it, the total amount will clearly by (60 + X) mL. Therefore, using the formula I gave above, we get the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28X%2F%2860%2BX%29%29%2A5+%2B+%2860%2F%2860%2BX%29%29%2A20 ALIGN=MIDDLE  ALT=\"10+=+%28X%2F%2860%2BX%29%29%2A5+%2B+%2860%2F%2860%2BX%29%29%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We now have to solve for X. Let's multiply both sides of the equation by (60+X) in order to get rid of the X's in the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+%2B+10X+=+5X+%2B+60%2A20 ALIGN=MIDDLE  ALT=\"600+%2B+10X+=+5X+%2B+60%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+=+1200+-+600+=+600 ALIGN=MIDDLE  ALT=\"5X+=+1200+-+600+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+120 ALIGN=MIDDLE  ALT=\"X+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We conclude that you need to add 120 mL of the 5% acid.\r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
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