document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923440>Question 923440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Leon is mixing a 30% acid solution with pure acid in order to produce 15 liters of a 45% acid solution. How much pure acid must be used in order to produce leons desired result? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560033 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=560033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = liters of 30% solution<BR>\n" );
document.write( "y = liters of pure acid<BR>\n" );
document.write( "---<BR>\n" );
document.write( "30x + 100y = 45*15<BR>\n" );
document.write( "x + y = 15<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( "30x + 100y = 675<BR>\n" );
document.write( "x + y = 15<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = 11.785714 liters of 30% solution<BR>\n" );
document.write( "y = 3.2142857 liters of pure acid<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now solved by substitution:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "30x + 100y = 675<BR>\n" );
document.write( "x + y = 15<BR>\n" );
document.write( "x = 15 - y<BR>\n" );
document.write( "30(15 - y) + 100y = 675<BR>\n" );
document.write( "450 - 30y + 100y = 675<BR>\n" );
document.write( "70y = 225<BR>\n" );
document.write( "y = 225/70<BR>\n" );
document.write( "y = 3.2142857 liters of pure acid<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( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );