document.write( "Question 312884: How many grams of pure silver must a silversmith mix with a 45% silver alloy to produce 200 grams of a 50% alloy? \n" ); document.write( "

Algebra.Com's Answer #223743 by checkley77(12844) $\"\"$ $\"About$

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x+.45(200-x)=.50*200
\n" ); document.write( "x+90-.45x=100
\n" ); document.write( ".55x=100-90
\n" ); document.write( ".55x=10
\n" ); document.write( "x=10/.55
\n" ); document.write( "x=18.18 grams of pure siler is used.
\n" ); document.write( "Proof:
\n" ); document.write( "18.18+.45(200-18.18)=.50*200
\n" ); document.write( "18.18+.45*181.82=100
\n" ); document.write( "18.18+81.82=100
\n" ); document.write( "100=100 \n" ); document.write( "

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