document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408464>Question 408464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve using a system of equations.\r<BR>\n" );
document.write( "\n" );
document.write( "I know you have to do something like x+y+x+y=, but then I get so confused.\r<BR>\n" );
document.write( "\n" );
document.write( "A 40% saline solution is to be mixed with a 60% saline solution to obtain 8 liters of a 55% solution. How many liters of each solution should be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287752 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In words:<BR>\n" );
document.write( "(liters of salt in 40% solution + liters of salt in 60% solution)/(liters of solution) = 55%<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 40% solution needed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 60% solution needed<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4a ALIGN=MIDDLE  ALT=\".4a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = salt in 40% solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6b ALIGN=MIDDLE  ALT=\".6b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = salt in 60% solution<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4a+%2B+.6b%29%2F8+=+.55 ALIGN=MIDDLE  ALT=\"%28.4a+%2B+.6b%29%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+8 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4a+%2B+.6b%29%2F8+=+.55 ALIGN=MIDDLE  ALT=\"%28.4a+%2B+.6b%29%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4a+%2B+.6b+=+.55%2A8 ALIGN=MIDDLE  ALT=\".4a+%2B+.6b+=+.55%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4a+%2B+.6b+=+4.4 ALIGN=MIDDLE  ALT=\".4a+%2B+.6b+=+4.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40a+%2B+60b+=+440 ALIGN=MIDDLE  ALT=\"40a+%2B+60b+=+440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also,<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+8 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40a+%2B+40b+=+320 ALIGN=MIDDLE  ALT=\"40a+%2B+40b+=+320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40a+%2B+60b+=+440 ALIGN=MIDDLE  ALT=\"40a+%2B+60b+=+440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40a+-+40b+=+-320 ALIGN=MIDDLE  ALT=\"-40a+-+40b+=+-320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20b+=+120 ALIGN=MIDDLE  ALT=\"20b+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+6 ALIGN=MIDDLE  ALT=\"b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+8 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2 ALIGN=MIDDLE  ALT=\"a+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 liters of 40% solution and 6 liters of 60% solution are needed<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4a+%2B+.6b%29%2F8+=+.55 ALIGN=MIDDLE  ALT=\"%28.4a+%2B+.6b%29%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4%2A2+%2B+.6%2A6%29%2F8+=+.55 ALIGN=MIDDLE  ALT=\"%28.4%2A2+%2B+.6%2A6%29%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.8+%2B+3.6%29%2F8+=+.55 ALIGN=MIDDLE  ALT=\"%28.8+%2B+3.6%29%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.4%2F8+=+.55 ALIGN=MIDDLE  ALT=\"4.4%2F8+=+.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.4+=+4.4 ALIGN=MIDDLE  ALT=\"4.4+=+4.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );