document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890580>Question 890580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two alloys A and B are composed of two basic elements. The ratios of the components of the two basic elements in the two alloys are 5:3 and 1:2 respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4:3.What is the ratio of the compositions of the two basic elements in alloy X. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539093 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=539093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ratio of the two elements as x:y, assuming based on masses.\r<BR>\n" );
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document.write( "Let p = how much of alloy A<BR>\n" );
document.write( "Let v = how much of alloy B\r<BR>\n" );
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document.write( "Concentration of x in alloy A, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Concentration of y in alloy A, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Concentration of x in alloy B, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Concentration of y in alloy B, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "THE MIXTURE TO PREPARE<BR>\n" );
document.write( "Concentration of x in mixture, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Concentration of y in mixture, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for material x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%285%2F8%29p%2B%281%2F3%29v=4%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28%285%2F8%29p%2B%281%2F3%29v=4%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for material y:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%283%2F8%29p%2B%282%2F3%29v=3%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28%283%2F8%29p%2B%282%2F3%29v=3%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The \"account\" equations are a system of two linear equations in two unknowns.  Solve any way you like or know.---------- or, continuing,\r<BR>\n" );
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document.write( "Lowest common denominator of those two equations is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A7%2A8 ALIGN=MIDDLE  ALT=\"3%2A7%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Multiplying all members by LCD and simplifying, and solving the two equations will give:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=40%2F49%29 ALIGN=MIDDLE  ALT=\"highlight%28p=40%2F49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=9%2F49%29 ALIGN=MIDDLE  ALT=\"highlight%28v=9%2F49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The complete solution is still not finished but this is a long way done for finding the answer to the question,\"ratio of the two basic elements in the alloy X\".  Knowing p and v, you only know how much of the two alloys to use.<BR>\n" );
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document.write( "Actually, you already know the ratio of the two basic elements because they were given in the problem description.  The best question, now answered, was HOW MUCH OF ALLOY A AND ALLOY B to use.  <b>This ratio is 40 parts of A to 9 parts of B.</b><BR>\n" );
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