document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163883>Question 1163883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total mass of a mixture of two liquids is 2.4 kg and the total volume is 1000 cm³ if 1cm³ of one of the liquids weighs 2 grams and 1 cm³ of the other liquid weighs 3 grams what volume of each liquid is present and what mass of each liquid is present. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788116 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total mass is 2400 g, and the density of the mixture is <BR>\n" );
document.write( "D = 2400 g/1000 cm^3 = 2.4 g/cc<BR>\n" );
document.write( "The mass of liquid 1 is m1 = d1*V1 where d1 and V1 are the density and volume of #1<BR>\n" );
document.write( "The mass of liquid 2 is m2 = d2*V2<BR>\n" );
document.write( "Given: d1 = 2, d2 = 3<BR>\n" );
document.write( "We know that: m1 + m2 = 2400 and V1 + V2 = 1000<BR>\n" );
document.write( "Thus m1 = 2V1<BR>\n" );
document.write( "2400 - m1 = 3(1000 - V1) -> 2400 - 2V1 = 3000 - 3V1 -> V1 = 600 <BR>\n" );
document.write( "Hence V2 = 400, m1 = 2*600 = 1200, m2 = 3*400 = 1200<BR>\n" );
document.write( "Ans: V1 = 600 cm^3, V2 = 400 cm^3, m1 = m2 = 1200 g\r<BR>\n" );
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