document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969618>Question 969618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SOLVE THE WORD PROBLEM. NEED TO USE 2 LET STATEMENTS. PLEASE SOLVE SOMPLETELY\r<BR>\n" );
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document.write( "A chemist has 6% and 15% solutions of sulfuric acid. How much of each solution should she mix to get 10 liters of a 9% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592441 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= number of liters of 6% sulfuric acid solution.\r<BR>\n" );
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document.write( "Let y= number of liters of 15% sulfuric acid solution.\r<BR>\n" );
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document.write( "x+y=10  (units are liters)\r<BR>\n" );
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document.write( ".06*x + (.15)y=(.09)*10\r<BR>\n" );
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document.write( "y=10-x  (substitution works well here).  Elimination could be used.\r<BR>\n" );
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document.write( ".06x + (.15) (10-x)=0.9  (I multiplied out the right side)\r<BR>\n" );
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document.write( ".06x + 1.5 - 0.15x=0.9\r<BR>\n" );
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document.write( "Subtract 1.5 from both sides and combine x s    You will get two negatives, one on each side of the equation, and they will cancel out, making the result positive.\r<BR>\n" );
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document.write( "-0.09x=-0.6<BR>\n" );
document.write( "x=6.67 (repeating decimal) liters of 6%<BR>\n" );
document.write( "y=3.33  liters of 15%\r<BR>\n" );
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document.write( "Check is done a different way:<BR>\n" );
document.write( "9%, the desired amount, is 1/3 the way between 6 and 15%\r<BR>\n" );
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document.write( "Therefore, 2/3 of the solution must come from the 6% solution and 1/3 from the 15% solution </SPAN>\n" );
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