document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037120>Question 1037120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vessel contains a mixture of 16 litres of milk and 8 litres of water and a second vessel contains a mixture of 16 litres of milk and 5 litres of water. How much of the mixture of milk and water should be taken from the first and the second vessels respectively and placed in a third vessel, so that the third vessel may contain a mixture of 20 litres of milk and 8 litres of water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651836 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A vessel contains a mixture of 16 litres of milk and 8 litres of water and a second vessel contains a mixture of 16 litres of milk and 5 litres of water.<BR>\n" );
document.write( " How much of the mixture of milk and water should be taken from the first and the second vessels respectively and placed in a third vessel, so that the third vessel may contain a mixture of 20 litres of milk and 8 litres of water?<BR>\n" );
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document.write( "the first mixture, contains a total of 16+8 = 24 liters<BR>\n" );
document.write( " it will be 16/24 or 2/3 milk<BR>\n" );
document.write( "the second mixture, contains a total of 16+5 = 21 liters<BR>\n" );
document.write( " it will be 16/21 milk<BR>\n" );
document.write( "the resulting mixture will be a total of 20+8 = 28 liters<BR>\n" );
document.write( " it will be 20/28 or 5/7 milk<BR>\n" );
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document.write( "let a = amt of the 1st mixture required<BR>\n" );
document.write( "the resulting mixture will have 20 liters, therefore<BR>\n" );
document.write( "(20 - a) = amt of the 2nd mixture required<BR>\n" );
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document.write( "A mixture equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F21 ALIGN=MIDDLE  ALT=\"16%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" >(20 - a) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(20)<BR>\n" );
document.write( "multiply by 21, cancel the denominators, and you have<BR>\n" );
document.write( "7(2a) + 16(20-a) = 3(5(20))<BR>\n" );
document.write( "14a + 320 - 16a = 300<BR>\n" );
document.write( "14a - 16a = 300 - 320<BR>\n" );
document.write( "-2a = -20<BR>\n" );
document.write( "a = -20/-2<BR>\n" );
document.write( "a = +10 liters of mixture 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "20 - 10 = 10 liters of mixture 2<BR>\n" );
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document.write( "Check this out, see if the amt of water checks out<BR>\n" );
document.write( "A is 1/3 water or 3.33 liters<BR>\n" );
document.write( "B is 5/21 water or 2.38 liters\<BR>\n" );
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document.write( "resulting amt has 2/7 water or 5.71 liters, the sum.<BR>\n" );
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