document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752548>Question 752548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 21 lbs of a metal is 29 percent nickel. it is a combination of metal A which is 35 percent nickel and metal b which is 25 percent nickel. how many pounds is metal A and how many pounds is metal B? The answer should be 8.4 and 12.6 but I don't know why </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457835 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=457835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 21 lbs of a metal is 29 percent nickel.<BR>\n" );
document.write( " it is a combination of metal A which is 35 percent nickel and metal b<BR>\n" );
document.write( " which is 25 percent nickel.<BR>\n" );
document.write( " how many pounds is metal A and how many pounds is metal B?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement;<BR>\n" );
document.write( "the total weight equation<BR>\n" );
document.write( "a + b = 21<BR>\n" );
document.write( "b = (21-a); use this form for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "the mixture equation in decimal form<BR>\n" );
document.write( ".35a + .25b = .29(21)<BR>\n" );
document.write( "Substitute (21-a) for b<BR>\n" );
document.write( ".35a + .25(21-a) = .29(21)<BR>\n" );
document.write( "do the math<BR>\n" );
document.write( ".35a + 5.25 - .25a = 6.09<BR>\n" );
document.write( ".35a - .25a = 6.09 - 5.25<BR>\n" );
document.write( ".10a = .84<BR>\n" );
document.write( "a = .84/.1<BR>\n" );
document.write( "a = 8.4 lb of A mixture<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 21 - 8.4<BR>\n" );
document.write( "b = 12.6 lb of B mixture<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( ".35(8.4) + .25(12.6) =<BR>\n" );
document.write( "2.94 + 3.15 = 6.09\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );