document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748663>Question 748663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular metal ally A has 20% iron and another alloy B contains 60% iron. How many kilograms of each alloy should be combined to create 80 kg of 52% iron alloy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477769 by </B><A HREF=/tutors/aboutme.mpl?userid=Megan-notamathgeekatall><B>Megan-notamathgeekatall(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Megan-notamathgeekatall><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=477769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
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document.write( "iron + iron = iron<BR>\n" );
document.write( "0.20x + 0.60(80-x) = 0.52(80)<BR>\n" );
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document.write( "20x + 60*80 - 60x = 52*80<BR>\n" );
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document.write( "-40x = -8*80<BR>\n" );
document.write( "x = (1/5)80<BR>\n" );
document.write( "x = 16 kg (amt. of 20% alloy needed)<BR>\n" );
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document.write( "80-x = 64 kg (amt. of 60% alloy needed)<TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+x+%2B+2+y+=+8 ALIGN=MIDDLE  ALT=\"4+x+%2B+2+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-4%2F2 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 8/4 = 2.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/2 = 4.</LI><LI>Slope is -4/2 = -2.</LI><LI> Equation in slope-intercept form: y=-2*x+4.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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