document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047306>Question 1047306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem Page<BR>\n" );
document.write( "In the lab, Heather has two solutions that contain alcohol and is mixing them with each other. She uses <BR>\n" );
document.write( "500<BR>\n" );
document.write( " milliliters less of Solution A than Solution B. Solution A is <BR>\n" );
document.write( "17%<BR>\n" );
document.write( " alcohol and Solution B is <BR>\n" );
document.write( "11%<BR>\n" );
document.write( " alcohol. How many milliliters of Solution A does she use, if the resulting mixture has <BR>\n" );
document.write( "167<BR>\n" );
document.write( " milliliters of pure alcohol? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662837 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the lab, Heather has two solutions that contain alcohol and is mixing them with each other. <BR>\n" );
document.write( "She uses 500 milliliters less of Solution A than Solution B.<BR>\n" );
document.write( " Solution A is 17% alcohol and <BR>\n" );
document.write( " Solution B is 11% alcohol.<BR>\n" );
document.write( " How many milliliters of Solution A does she use, if the resulting mixture has<BR>\n" );
document.write( "167 milliliters of pure alcohol?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a = amt of A solution<BR>\n" );
document.write( "b = amt of B solution<BR>\n" );
document.write( "\"500 milliliters less of Solution A than Solution B.\"<BR>\n" );
document.write( "a = b - 500<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A mixture equation<BR>\n" );
document.write( ".17a + .11b = 167<BR>\n" );
document.write( "Replace a with (b-500)<BR>\n" );
document.write( ".17(b-500) + .11b = 167<BR>\n" );
document.write( ".17b - 85 + .11b = 167<BR>\n" );
document.write( ".17b + .11b = 167 + 85<BR>\n" );
document.write( ".28b = 252<BR>\n" );
document.write( "b = 252/,28<BR>\n" );
document.write( "b = 900 ml of B solution used<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "900 - 500 = 400 ml of A solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check by finding the actual amt of alcohol in each<BR>\n" );
document.write( ".17(400) = 68 ml<BR>\n" );
document.write( ".11(900) = 99<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "total alcohol: 167 mo<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );