document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508791>Question 508791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many liters of pure dye must be added to 45 liters of a 6% dye solution to obtain a 10% dye solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341106 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=341106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Always keep track of how much 'pure' stuff you need.<BR>\n" );
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document.write( "You have 45 liters of 6% solution, so it contains .06*45 = 2.7 liters of pure dye in solution<BR>\n" );
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document.write( "You need to add 'x' liters of pure dye.<BR>\n" );
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document.write( "6%(45) + 100%(x) = 10%(45+x)<BR>\n" );
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document.write( ".06(45) + 1.00(x) = .10(45+x)<BR>\n" );
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document.write( "multiply through by 100 to get rid of decimals<BR>\n" );
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document.write( "6(45) + 100x = 10(45+x)<BR>\n" );
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document.write( "270 +100x = 450 +10x<BR>\n" );
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document.write( "subtract 270 from both sides<BR>\n" );
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document.write( "100x = 180 +10x<BR>\n" );
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document.write( "subtract 10x from both sides<BR>\n" );
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document.write( "90x = 180<BR>\n" );
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document.write( "divide both sides by 90<BR>\n" );
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document.write( "x = 2<BR>\n" );
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document.write( "Add 2 liters of pure dye to obtain 47 liters of 10% dye.<BR>\n" );
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document.write( "Check the amount of pure dye.<BR>\n" );
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document.write( ".10*47 =  4.7 liters of dye are supposed to be in 47 liters of 10% solution.<BR>\n" );
document.write( "In the original 45 liters we found we had 2.7 liters (.06*45) of pure dye.<BR>\n" );
document.write( "So, adding 2 liters of pure dye does it.<BR>\n" );
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document.write( "Answer: Add 2 liters of pure dye.<BR>\n" );
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document.write( "Done.<BR>\n" );
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