document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74968>Question 74968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Science and medicine. A pharmacist wishes to prepare 150 mL of a 20% alcohol<BR>\n" );
document.write( "solution. She has a 30% solution and a 15% solution in her stock. How much of each should be used in forming the desired mixture?<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 #53851 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us suppose that 'x' ml of 30% alcohol be mixed with 'y' ml of 15% alcohol to form 150 ml of 20% alcohol.\r<BR>\n" );
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document.write( "150 ml of 20% alcohol consists <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A150%2F100 ALIGN=MIDDLE  ALT=\"20%2A150%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30 ml of alcohol and (150 - 30) = 120 ml of water.\r<BR>\n" );
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document.write( "Similarly, 'x' ml of 30% alcohol contains <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Ax%2F100 ALIGN=MIDDLE  ALT=\"30%2Ax%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.3x ml and (x - 0.3x) = 0.7x ml of water.<BR>\n" );
document.write( "Also, 'y' ml of 30% alcohol contains <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Ay%2F100 ALIGN=MIDDLE  ALT=\"15%2Ay%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.15y ml and (y - 0.15y) = 0.85y ml of water.\r<BR>\n" );
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document.write( "Thus total volume of alcohol in final mixture = (0.3x + 0.15y) ml and total volume of water in final mixture = (0.7x + 0.85y) ml.\r<BR>\n" );
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document.write( "But final mixture contains 30 ml alcohol and 120 ml water.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x+%2B+0.15y+=+30 ALIGN=MIDDLE  ALT=\"0.3x+%2B+0.15y+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >______________(1)<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.7x+%2B+0.85y+=+120 ALIGN=MIDDLE  ALT=\"0.7x+%2B+0.85y+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >______________(2)\r<BR>\n" );
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document.write( "Multiplying (1) by 7 and (2) by 3 and subtracting (1) from (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.55y+-+0.85y+=+360+-+210 ALIGN=MIDDLE  ALT=\"2.55y+-+0.85y+=+360+-+210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7y+=+170 ALIGN=MIDDLE  ALT=\"1.7y+=+170\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+170%2F1.7+=+100 ALIGN=MIDDLE  ALT=\"y+=+170%2F1.7+=+100\"   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=0.3x+%2B+0.15%2A100+=+30 ALIGN=MIDDLE  ALT=\"0.3x+%2B+0.15%2A100+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > [from (1)]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x+%2B+15+=+30 ALIGN=MIDDLE  ALT=\"0.3x+%2B+15+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x+=+30+-+15+=+15 ALIGN=MIDDLE  ALT=\"0.3x+=+30+-+15+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+15%2F0.3+=+50 ALIGN=MIDDLE  ALT=\"x+=+15%2F0.3+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, 50 ml of 30% alcohol should be mixed with 100 ml of 15% alcohol. </SPAN>\n" );
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