document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917822>Question 917822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist wants to make 6 milliliters of a 30% alcohol solution. The solution is to be made from a combination of a 20% alcohol solution and a 50% alcohol solution.\r<BR>\n" );
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document.write( "a. Write a system of two equations that model this situation (Define variables)<BR>\n" );
document.write( "b. How many milliliters of each solution must be combined to get 6 milliliters of 30% alcohol solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556815 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need a total of 6 mL at 30%<BR>\n" );
document.write( "We want to know how many mL at 20% to mix with 50%<BR>\n" );
document.write( "a+b=6,<BR>\n" );
document.write( "0.2*a+0.5*b=0.3*6<BR>\n" );
document.write( "a=6-b<BR>\n" );
document.write( "0.2*(6-b)+0.5*b=1.8<BR>\n" );
document.write( "1.2-0.2b+0.5*b=1.8<BR>\n" );
document.write( "0.3*b=0.6<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "a=6-b<BR>\n" );
document.write( "a=4 mL at 20%<BR>\n" );
document.write( "b=2 mL at 50%<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.2*4+0.5*2=0.3*6<BR>\n" );
document.write( "0.8+1=1.8<BR>\n" );
document.write( "1.8=1.8<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "codemx1<BR>\n" );
document.write( " </SPAN>\n" );
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