document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101792>Question 1101792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Grey cloud works in the lab at a pharmaceutical company. He needs to make 24 liters of a 41% acid solution to test a new product. His supplier only ships a 39% and a 42% solution. Mr. Greycloud decides to make the 41% solution by mixing the 39% solution with the 42% solution. How much of the 39% solution will Mr. Greycloud need to use?\r<BR>\n" );
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document.write( "A. 9 L<BR>\n" );
document.write( "B. 24 L<BR>\n" );
document.write( "C. 8 L<BR>\n" );
document.write( "D. 16 L </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716433 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A denote the 42% solution and B denote the 39% solution which we have.<BR>\n" );
document.write( "Let C denote the 41% solution which we want.<BR>\n" );
document.write( "Using the method of alligation.<BR>\n" );
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document.write( "42         2 2/3*24=16 L of 42% solution\r\n" );
document.write( "      41            16+8=24 L of 41% solution\r\n" );
document.write( "39         1 1/3*24=8 L of 39% solution\r\n" );
document.write( "           3\r\n" );
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document.write( "1= 42 - 41<BR>\n" );
document.write( "2= 41 - 39<BR>\n" );
document.write( "E.g. There are 2 parts of A plus 1 parts of B<BR>\n" );
document.write( "Then 2+1=3 parts total<BR>\n" );
document.write( "2/3=0.66666667<BR>\n" );
document.write( "0.66666667*24=16<BR>\n" );
document.write( "16 L of 42% solution.<BR>\n" );
document.write( "24 L-16 L=8 L<BR>\n" );
document.write( "8 L of 39% solution.<BR>\n" );
document.write( "or<BR>\n" );
document.write( "1/3=0.33333333<BR>\n" );
document.write( "0.33333333*24=8 L<BR>\n" );
document.write( "8 L of 39% solution.<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.39 * 8 + 0.42 * 16 = 0.41*24<BR>\n" );
document.write( "3.12 + 6.72 = 9.84<BR>\n" );
document.write( "9.84 = 9.84<BR>\n" );
document.write( "ok<BR>\n" );
document.write( " </SPAN>\n" );
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