document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266453>Question 266453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A materials scientist has 6 lbs of a 40% silver alloy. How many pounds of pure silver must he mix with the entire 6 pounds of 40% alloy to obtain as much of a 62% alloy as he can? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195773 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a mixture problem. We can set up the following table.<BR>\n" );
document.write( "alloy . . . . . % . . . . . LB . . . . . %lb<BR>\n" );
document.write( "40% . . . . . .40 . . . . . . 6 . . . . .240<BR>\n" );
document.write( "100% . . . . . 100 . . . . .x . . . . .100x<BR>\n" );
document.write( "mixture . . . .62 . . . . .x + 6 . . 62x + 372<BR>\n" );
document.write( "Looking at the third column we get<BR>\n" );
document.write( "240 + 100x = 62x + 372<BR>\n" );
document.write( "subtracting 62x we get<BR>\n" );
document.write( "240 - 38x = 372<BR>\n" );
document.write( "subtract 240 to get<BR>\n" );
document.write( "132 = 38x<BR>\n" );
document.write( "divide to get<BR>\n" );
document.write( "x = 3.4736 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );