document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150631>Question 150631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In what proportion should 95% alcohol be mixed with 30% alcohol to make 70% alcohol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110569 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=110569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try this:<BR>\n" );
document.write( "Let x = the amount of 95% alcohol mixture required.<BR>\n" );
document.write( "Let y = the amount of 30% alcohol mixture required.<BR>\n" );
document.write( "We can write:<BR>\n" );
document.write( "0.95x+0.3y = 0.7(x+y) Expand the right side.<BR>\n" );
document.write( "o.95x+0.3y = 0.7x+0.7y Combine like-terms.<BR>\n" );
document.write( "0.25x = 0.4y<BR>\n" );
document.write( "Since we want the ratio of the amount of 95% alcohol mixture (x) to the amount of 35% alcohol mixture (y), which is x/y, we can write:<BR>\n" );
document.write( "x/y = 0.4/0.25 Simplifying this we get:<BR>\n" );
document.write( "x/y = 8/5<BR>\n" );
document.write( "So the proportion is 8 units of 95% alcohol mixture to 5 units of 30% alcohol mixture to make 8+5 = 13 units of 70% alcohol mixture.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "8(0.95)+5(0.3) = 13(0.7)<BR>\n" );
document.write( "7.6+1.5 = 9.1<BR>\n" );
document.write( "9.1 = 9.1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );