document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002836>Question 1002836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, \r<BR>\n" );
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document.write( "I would just like to say thank you in advanced for your help. My question is as follows: \r<BR>\n" );
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document.write( "A certain mixture contains 5% cement and 8% sand. How many kilograms of this mixture and how many kilograms of sand should be combine with 255 kilograms of cement to make a batch that is 12% cement and 15% sand?\r<BR>\n" );
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document.write( "Thank you again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619703 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=619703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Current mixture, 5% cement and 8% sand<BR>\n" );
document.write( "Want to combine quantities m of current mixture, x of sand, 255 kilograms of current mixture;<BR>\n" );
document.write( "Result to be 12% cement and 15% sand\r<BR>\n" );
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document.write( "Mass in kilograms of the result mixture, m+x+255\r<BR>\n" );
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document.write( "The accounting equations are setup here using decimal fractions instead of percentage units.\r<BR>\n" );
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document.write( "Accounting sand<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.08m%2Bx%2B0%2A255%29%2F%28m%2Bx%2B255%29=0.15 ALIGN=MIDDLE  ALT=\"%280.08m%2Bx%2B0%2A255%29%2F%28m%2Bx%2B255%29=0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.08m%2Bx%29%2F%28m%2Bx%2B255%29=0.15 ALIGN=MIDDLE  ALT=\"%280.08m%2Bx%29%2F%28m%2Bx%2B255%29=0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Accounting cement<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.05m%2B0%2Ax%2B255%29%2F%28m%2Bx%2B255%29=0.12 ALIGN=MIDDLE  ALT=\"%280.05m%2B0%2Ax%2B255%29%2F%28m%2Bx%2B255%29=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.05m%2B255%29%2F%28m%2Bx%2B255%29=0.12 ALIGN=MIDDLE  ALT=\"%280.05m%2B255%29%2F%28m%2Bx%2B255%29=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The starting system of equations in m and x is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%280.08m%2Bx%29%2F%28m%2Bx%2B255%29=0.15%2C%280.05m%2B255%29%2F%28m%2Bx%2B255%29=0.12%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Can you solve this system, and do you find meaningful results for m and x ?\r<BR>\n" );
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document.write( "Carefully simplifying the system of equations gives the equivalent system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%280.85x-0.07m=38.25%2C0.12x-0.38m=224.4%29 ALIGN=MIDDLE  ALT=\"system%280.85x-0.07m=38.25%2C0.12x-0.38m=224.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The use of substitution method might be the preferable way to solve this system.\r<BR>\n" );
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document.write( "If the analysis is correct, and the solution steps are done correctly, and if either found value<BR>\n" );
document.write( "is nonsense, or negative, then this means the description was bad, and the problem has no solution.<BR>\n" );
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