document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64839>Question 64839</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12% iodine and another solution that is 37% iodine. How many liters of each solution should the druggiest use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45345 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=45345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of liters of 37% iodine<BR>\n" );
document.write( "Then 25-x=number of liters of 12% iodine\r<BR>\n" );
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document.write( "Now we know that the amount of pure iodine in the 37% solution (.37)(x) plus the amount of pure iodine in the 12% solution .12(25-x) must equal the amount of pure iodine in the final solution (25)(.16) so our equation to solve:\r<BR>\n" );
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document.write( ".37x+.12(25-x)=25(.16) simplifying we get:\r<BR>\n" );
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document.write( ".37x-.12x+3=4 collecting like terms we have:<BR>\n" );
document.write( ".25x=4-3 or<BR>\n" );
document.write( ".25x=1<BR>\n" );
document.write( "x=4 liters of the 37% solution<BR>\n" );
document.write( "25-x=25-4=21 liters of 12% solution\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( ".37(4)+.12(25-4)=25(.16)<BR>\n" );
document.write( "1.48+2.52=4<BR>\n" );
document.write( "4=4\r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays.-----ptaylor </SPAN>\n" );
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