document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100199>Question 100199</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072368683/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A chemist mixes distilled water with a 90% solution of sulfuric acid to produce a 50% solution. If 5 liters of distilled water is used, how much 50% solution is produced? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72994 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=72994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of 50% solution that is produced\r<BR>\n" );
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document.write( "Then x-5=amount of 90% solution that was mixed with the distilled water\r<BR>\n" );
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document.write( "(1)  Pure sulfuric acid in the 90% solution=0.90(x-5)\r<BR>\n" );
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document.write( "(2)  Pure sulfuric acid in the distilled water=0\r<BR>\n" );
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document.write( "(3)  Pure sulfuric acid in the final mixture=0.50x\r<BR>\n" );
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document.write( "Now we know that (1)+(2)=(3).  So our equation to solve is:\r<BR>\n" );
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document.write( "0.90(x-5)=0.50x  get rid of parens\r<BR>\n" );
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document.write( "0.90x-4.5=0.50x  subtract 0.90x from both sides\r<BR>\n" );
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document.write( "0.90x-0.90x-4.5=0.50x-0.90x  collect like terms\r<BR>\n" );
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document.write( "-4.5=-0.40x  divide both sides by -0.40\r<BR>\n" );
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document.write( "x=11.25 liters -------------amount of 50% solution produced\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "0.90*(11.25-5)=0.50*(11.25)<BR>\n" );
document.write( "0.90(6.25)=5.625<BR>\n" );
document.write( "5.625=5.625\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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