document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826380>Question 826380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I want to make 2 gallons of a drink that is 60% cranberry juice and 40% apple juice. How many gallons of 100% apple juice do I need to mix with an 80% cranberry/20% apple blend to achieve this result? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498038 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "volumes:<BR>\n" );
document.write( "x = 100% apple juice<BR>\n" );
document.write( "y = 80/20 cranberry/apple juice<BR>\n" );
document.write( "---<BR>\n" );
document.write( "cranberry:<BR>\n" );
document.write( "60*2 = 0x + 80y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "apple:<BR>\n" );
document.write( "40*2 = 100x + 20y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "linear system:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "120 = 80y<BR>\n" );
document.write( "80 = 100x + 20y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "80y = 120<BR>\n" );
document.write( "100x + 20y = 80<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = 100% apple juice = 0.5 gallons<BR>\n" );
document.write( "y = 80/20 cranberry/apple juice = 1.5 gallons<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "0 80<BR>\n" );
document.write( "100 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "-0.0025 0.01<BR>\n" );
document.write( "0.0125 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = -8000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );