document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=492982>Question 492982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1 pt) What quantity of 65 per cent acid solution must be mixed with a 30 percent solution to produce 630 mL of a 50 per cent solution? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335232 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ml of 65% solution needed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ml of 30% solution needed<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.65a+ ALIGN=MIDDLE  ALT=\"+.65a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = acid in 65% solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3b+ ALIGN=MIDDLE  ALT=\"+.3b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = acid in 30% solution<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+630+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+630+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.65a+%2B+.3b+%29+%2F+630+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+.65a+%2B+.3b+%29+%2F+630+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.65a+%2B+.3b+=+.5%2A630+ ALIGN=MIDDLE  ALT=\"+.65a+%2B+.3b+=+.5%2A630+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.65a+%2B+.3b+=+315+ ALIGN=MIDDLE  ALT=\"+.65a+%2B+.3b+=+315+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+65a+%2B+30b+=+31500+ ALIGN=MIDDLE  ALT=\"+65a+%2B+30b+=+31500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+ ALIGN=MIDDLE  ALT=\"+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+65a+%2B+30b+=+31500+ ALIGN=MIDDLE  ALT=\"+65a+%2B+30b+=+31500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-30a+-+30b+=+18900+ ALIGN=MIDDLE  ALT=\"+-30a+-+30b+=+18900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35a+=+12600+ ALIGN=MIDDLE  ALT=\"+35a+=+12600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+360+ ALIGN=MIDDLE  ALT=\"+a+=+360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+630+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+630+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+%2B+b+=+630+ ALIGN=MIDDLE  ALT=\"+360+%2B+b+=+630+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++b+=+270+ ALIGN=MIDDLE  ALT=\"++b+=+270+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "360 ml of 65% solution are needed<BR>\n" );
document.write( "270 ml of 30% solution are needed<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.65a+%2B+.3b+%29+%2F+630+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+.65a+%2B+.3b+%29+%2F+630+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.65%2A360+%2B+.3%2A270+%29+%2F+630+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+.65%2A360+%2B+.3%2A270+%29+%2F+630+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+234+%2B+81+%29+%2F+630+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+234+%2B+81+%29+%2F+630+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+315+%2F+630+=+.5+ ALIGN=MIDDLE  ALT=\"+315+%2F+630+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+315+=+315+ ALIGN=MIDDLE  ALT=\"+315+=+315+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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