document.write( "Question 159481: How many kilograms of nicker silver containing 18% zinc and how many kilograms of nickel silver containing 31% zinc must be melted together to produce 700kg of a new nickle silver containing 22% zinc??? \n" ); document.write( "
Algebra.Com's Answer #117596 by josmiceli(19441)\"\" \"About 
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In words:
\n" ); document.write( "(kg of zinc in 18% metal)+(kg of zinc in 31% metal)/(total kg of metal) = .22
\n" ); document.write( "Given:
\n" ); document.write( "Total kg of metal = \"700\" kg
\n" ); document.write( "Let kgs of 18% metal = \"a\"kg
\n" ); document.write( "Let kgs of 31% metal = \"b\"kg
\n" ); document.write( "\"a+%2B+b+=+700\"
\n" ); document.write( "\"b+=+700+-+a\"
\n" ); document.write( "\"%28.18a+%2B+.31b%29+%2F+700+=+.22\"
\n" ); document.write( "\".18a+%2B+.31b+=+154\"
\n" ); document.write( "\".18a+%2B+.31%2A%28700+-+a%29+=+154\"
\n" ); document.write( "\".18a+%2B+217+-+.31a+=+154\"
\n" ); document.write( "\"-.13a+=+-63\"
\n" ); document.write( "\"a+=+484.6\"kg
\n" ); document.write( "\"b+=+700+-+484.6\"
\n" ); document.write( "\"b+=+215.4\"kg
\n" ); document.write( "I need 484.6 kg of the 18% metal and
\n" ); document.write( "215.4 kg of the 31% metal
\n" ); document.write( "check:
\n" ); document.write( "\"%28.18%2A484.6+%2B+.31%2A215.4%29%2F700+=+.22\"
\n" ); document.write( "\"87.228+%2B+66.774%29%2F700+=+.22\"
\n" ); document.write( "\"154+%2F+700+=+.22\"
\n" ); document.write( "\".22+=+.22\"
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