document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129855>Question 1129855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B 95% is salt. She wants to obtain 70 ounces of a mixture that is 90% salt. How many ounces of each solution should she use? <BR>\n" );
document.write( "solution A?<BR>\n" );
document.write( "solution B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746487 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the number of ounces of the 70% solution.<BR>\n" );
document.write( "y = the numberof ounces of the 95% solution.\r<BR>\n" );
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document.write( "x + y = 70<BR>\n" );
document.write( ".7 * x + .95 * y = .9 * (x + y)\r<BR>\n" );
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document.write( "since x + y = 70, the second equation becomes:\r<BR>\n" );
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document.write( ".7 * x + .95 * y = .9 * 70 = 63\r<BR>\n" );
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document.write( "your two equations that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "x + y = 70<BR>\n" );
document.write( ".7 * x + .95 * y = 63\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .7 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".7 * x + .7 * y = 49<BR>\n" );
document.write( ".7 * x + .95 * y = 63\r<BR>\n" );
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document.write( "subtract the first equation from the second to get .25 * y = 14\r<BR>\n" );
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document.write( "solve for y to get y = 56\r<BR>\n" );
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document.write( "from x + y = 70, solve for x to get x = 14\r<BR>\n" );
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document.write( "your solution is x = 14 and y = 56.<BR>\n" );
document.write( "that means that you need 14 ounces of the 70% solution and 56 ounces of the 95% solution to get 70 ounces of a 90% solution.\r<BR>\n" );
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document.write( ".7 * 14 + .95 * 56 = 63<BR>\n" );
document.write( "63 / 70 = .9 = 90%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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