document.write( "Question 697218: Two alloys A and B contain gold and silver in the ratio 1:2 and 2:3 .A third alloy C is formed by mixing A and B in the ratio 5:6 .find the percentage of silver in the alloy C. \n" ); document.write( "
Algebra.Com's Answer #429782 by josmiceli(19441)\"\" \"About 
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I will say that I have \"+5+\" units of A
\n" ); document.write( "and \"+6+\" units of B. It doesn't matter
\n" ); document.write( "what the unit is.
\n" ); document.write( "I mix them to get \"+11+\" units of C.
\n" ); document.write( "given:
\n" ); document.write( "Let \"+g+\" = units of gold
\n" ); document.write( "Let \"+s+\" = units of silver
\n" ); document.write( "-------------------------------
\n" ); document.write( "For alloy A:
\n" ); document.write( "\"+g%2Fs+=+1%2F2+\"
\n" ); document.write( "\"+2g+=+s+\"
\n" ); document.write( "\"+s+=+2g+\"
\n" ); document.write( "--------------
\n" ); document.write( "For alloy B:
\n" ); document.write( "\"+g%2Fs+=+2%2F3+\"
\n" ); document.write( "\"+3g+=+2s+\"
\n" ); document.write( "\"+s+=+%283%2F2%29%2Ag+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Given:
\n" ); document.write( "\"+C+=+A+%2B+B+\"
\n" ); document.write( "\"+A%2FB+=+5%2F6+\"
\n" ); document.write( "-----------------
\n" ); document.write( "For alloy A:
\n" ); document.write( "\"+s+%2B+g+=+5+\"
\n" ); document.write( "\"+s+=+2g+\"
\n" ); document.write( "\"+2g+%2B+g+=+5+\"
\n" ); document.write( "\"+g+=+5%2F3+\"
\n" ); document.write( "\"+s+=+10%2F3+\"
\n" ); document.write( "---------------
\n" ); document.write( "For alloy B:
\n" ); document.write( "\"+s+%2B+g+=+6+\"
\n" ); document.write( "\"+%283%2F2%29%2Ag+%2B+g+=+6+\"
\n" ); document.write( "\"+%285%2F2%29%2Ag+=+6+\"
\n" ); document.write( "\"+g+=+12%2F5+\"
\n" ); document.write( "\"+s+=+%283%2F2%29%2Ag+\"
\n" ); document.write( "\"+s+=+18%2F5+\"
\n" ); document.write( "----------------
\n" ); document.write( "Adding up the gold, I get
\n" ); document.write( "\"+g+=+5%2F3+%2B+12%2F5+\"
\n" ); document.write( "\"+g+=+25%2F15+%2B+36%2F15+\"
\n" ); document.write( "\"+g+=+61%2F15+\"
\n" ); document.write( "Adding up the silver, I get
\n" ); document.write( "\"+s+=+10%2F3+%2B+18%2F5+\"
\n" ); document.write( "\"+s+=+50%2F15+%2B+54%2F15+\"
\n" ); document.write( "\"+s+=+104%2F15+\"
\n" ); document.write( "-------------------
\n" ); document.write( "I need to find \"+s+%2F+%28+s+%2B+g+%29+\"
\n" ); document.write( "for alloy C
\n" ); document.write( "\"+s+%2F+%28+s+%2B+g+%29++=+%28+104%2F15+%29+%2F+%28+104%2F15++%2B++61%2F15+%29+\"
\n" ); document.write( "\"+s+%2F+%28+s+%2B+g+%29+=+104+%2F+%28+104+%2B+61+%29+\"
\n" ); document.write( "\"+s+%2F+%28+s+%2B+g+%29+=+104+%2F+165+\"
\n" ); document.write( "\"+s+%2F+%28+s+%2B+g+%29+=+.6333+\"
\n" ); document.write( "The percentage of silver is 63.333 %
\n" ); document.write( "------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+.63333%2A11+=+6.93333+\" units of silver
\n" ); document.write( "\"+11+-+6.93333+=+4.06666+\" units of gold
\n" ); document.write( "------------
\n" ); document.write( "\"+g+=+61%2F15+\"
\n" ); document.write( "\"+61%2F15+=+4.06666+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+=+104%2F15+\"
\n" ); document.write( "\"+s+=+6.93333+\"
\n" ); document.write( "OK\r
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