document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015703>Question 1015703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much clay do you need to add to 8m^3 of soil with 30% clay in order to make a soil with 60%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632101 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the amount of clay to add\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8m%5E3 ALIGN=MIDDLE  ALT=\"8m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of soil at 30% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4m%5E3 ALIGN=MIDDLE  ALT=\"2.4m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of clay<BR>\n" );
document.write( "x of soil at 100% = x of clay<BR>\n" );
document.write( "( x + 8 ) at 60% = 0.60(x+8)<BR>\n" );
document.write( "2.4 + x = 0.60(x+8)<BR>\n" );
document.write( "That is the amount of clay in the original mixture plus<BR>\n" );
document.write( "the amount of clay in x must give us a mixture of the total<BR>\n" );
document.write( "amount of material,(x+8) that is in our final mixture.<BR>\n" );
document.write( "The first step is to add -2.4 to each side<BR>\n" );
document.write( "x = 0.60(x+8) -2.4<BR>\n" );
document.write( "x = 0.6x + 4.8 -2.4<BR>\n" );
document.write( "x = 0.6x + 2.4<BR>\n" );
document.write( "add -0.6x to each side<BR>\n" );
document.write( "0.4x = 2.4<BR>\n" );
document.write( "divide each side by 0.4<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "Let's verify that this is correct.<BR>\n" );
document.write( "Our original amount of material is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8m%5E3%7D%7D+to+which%0D%0Awe+add+%7B%7B%7B6m%5E3%7D%7D+giving+us+%7B%7B%7B14m%5E3 ALIGN=MIDDLE  ALT=\"8m%5E3%7D%7D+to+which%0D%0Awe+add+%7B%7B%7B6m%5E3%7D%7D+giving+us+%7B%7B%7B14m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of material.<BR>\n" );
document.write( "The amount of this material that is clay is 2.4 + 6 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E3 ALIGN=MIDDLE  ALT=\"m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The percentage of our new material that is clay<BR>\n" );
document.write( "is (2.4 + 6)/14 = 60 %<BR>\n" );
document.write( "So 6 m^3 of clay is what we want. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );