document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078245>Question 1078245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble setting up the equations for the following problem:\r<BR>\n" );
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document.write( "a goldsmith was going to make some rings out of his 1000 grams of gold an alloy which would contain 45% gold.  The goldsmith was going to use 2 different types of alloys and melt them together.  One of the alloys was 25% AND THE OTHER 50% GOLD.  How many grams of each type would the goldsmith have to use?\r<BR>\n" );
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document.write( "I have .25x+.50y=450  so far, but I need one more equation to solve using elimination.  please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692752 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=692752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a goldsmith was going to make some rings out of his 1000 grams of gold <s>an</s> alloy which would contain 45% gold.  The goldsmith was going to use 2 different types of alloys and melt them together.  One of the alloys was 25% AND THE OTHER 50% GOLD.  How many grams of each type would the goldsmith have to use?\r<BR>\n" );
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document.write( "x, how much of the 25% gold alloy to use<BR>\n" );
document.write( "1000-x, how much of the 50% gold alloy to use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight_green%2825x%2B50%281000-x%29=1000%2A45%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight_green%2825x%2B50%281000-x%29=1000%2A45%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B50000-50x=45000 ALIGN=MIDDLE  ALT=\"25x%2B50000-50x=45000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x-50x=45000-50000 ALIGN=MIDDLE  ALT=\"25x-50x=45000-50000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25x=-5000 ALIGN=MIDDLE  ALT=\"-25x=-5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x=5000 ALIGN=MIDDLE  ALT=\"25x=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=200%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You really need just one variable and one equation.  Solve this one here for x, and that will be how many grams of the 25% alloy to use.  Computing then 1000-x is simple to do for the 50% alloy.\r<BR>\n" );
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document.write( "You could still setup for two equations in two unknowns.<BR>\n" );
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document.write( "https://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev </SPAN>\n" );
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