document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023988>Question 1023988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lab needs to make 100 gallons of an 18% acid solution by mixing a 12% acid\r<BR>\n" );
document.write( "\n" );
document.write( "solution with a 20% solution. How many gallons of each solution are needed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639482 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=639482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lab needs to make 100 gallons of an 18% acid solution by mixing a 12% acid <BR>\n" );
document.write( "solution with a 20% solution. How many gallons of each solution are needed? <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Quantity:: t + w = 100 gallons<BR>\n" );
document.write( "Acid Eq:: 0.12t + 0.20w = 0.18*100<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Modify for elimination::<BR>\n" );
document.write( "12t + 12w = 12*100<BR>\n" );
document.write( "12t + 20w = 18*100<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Subtract and solve for \"w\"::<BR>\n" );
document.write( "8w = 6*100<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "w = 75 gallons (amt. of 20% solution needed)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Solve for \"t\"::<BR>\n" );
document.write( "t = 100 - 75 = 25 gallons (amt. of 12% solution needed)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );