document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472969>Question 472969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist has a 30% acid solution and a 60% solution already prepared. How<BR>\n" );
document.write( "much of each of the two solutions should be mixed to form 300 mL of a 50%<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324294 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=324294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amount of 30% solution, y = amount of 60% solution (both amounts in mL)\r<BR>\n" );
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document.write( "Since the chemist wants 300mL, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=300 ALIGN=MIDDLE  ALT=\"x%2By=300\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve for y to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-x ALIGN=MIDDLE  ALT=\"y=300-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because \"A chemist has a 30% acid solution and a 60% solution already prepared\" and the chemist wants \"to form 300 mL of a 50% solution\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x%2B0.6y=0.5%28300%29 ALIGN=MIDDLE  ALT=\"0.3x%2B0.6y=0.5%28300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Next, multiply everything by 10 to get every number to be a whole number. So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%280.3x%29%2B10%280.6y%29=10%2A0.5%28300%29 ALIGN=MIDDLE  ALT=\"10%280.3x%29%2B10%280.6y%29=10%2A0.5%28300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6y=1500 ALIGN=MIDDLE  ALT=\"3x%2B6y=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-x ALIGN=MIDDLE  ALT=\"y=300-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6%28300-x%29=1500 ALIGN=MIDDLE  ALT=\"3x%2B6%28300-x%29=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B1800-6x=1500 ALIGN=MIDDLE  ALT=\"3x%2B1800-6x=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B1800=1500 ALIGN=MIDDLE  ALT=\"-3x%2B1800=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=1500-1800 ALIGN=MIDDLE  ALT=\"-3x=1500-1800\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800 ALIGN=MIDDLE  ALT=\"1800\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=-300 ALIGN=MIDDLE  ALT=\"-3x=-300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-300%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"x=%28-300%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100 ALIGN=MIDDLE  ALT=\"x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Now go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-x ALIGN=MIDDLE  ALT=\"y=300-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and use that to find the value of y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-x ALIGN=MIDDLE  ALT=\"y=300-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-100 ALIGN=MIDDLE  ALT=\"y=300-100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=200 ALIGN=MIDDLE  ALT=\"y=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100 ALIGN=MIDDLE  ALT=\"x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=200 ALIGN=MIDDLE  ALT=\"y=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that 100 mL of 30% acid solution and 200 mL of 60% acid solution is needed to mix to get 300 mL of 50% acid solution. </SPAN>\n" );
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