document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135611>Question 1135611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A metallurgist has an alloy with 15​% titanium and an alloy with 25​% titanium. He needs 100 grams of an alloy with 21​% titanium. How much of each alloy should be mixed to attain the 100 grams of alloy with 21​% ​titanium? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753241 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = grams of 15% titanium<BR>\n" );
document.write( "y = grams of 25% titanium<BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "Make two equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+100 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.15x+%2B+0.25y+=+0.21%28100%29 ALIGN=MIDDLE  ALT=\"0.15x+%2B+0.25y+=+0.21%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "Simplify second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+100 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.15x+%2B+0.25y+=+21 ALIGN=MIDDLE  ALT=\"0.15x+%2B+0.25y+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "Multiply second equation by -4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+100 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.6x+-+y+=+-84 ALIGN=MIDDLE  ALT=\"-0.6x+-+y+=+-84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "Add the equations together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x+=+16 ALIGN=MIDDLE  ALT=\"0.4x+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+40 ALIGN=MIDDLE  ALT=\"x+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "x = 40, so that means the metallurgist uses 40 grams of the 15% titanium.  Since x + y = 100 (from our first equation), that means the metallurgist uses 60 grams of the 25% titanium.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );