document.write( "Question 222048: 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 #166434 by ankor@dixie-net.com(22740)\"\" \"About 
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How many grams of pure silver must a silversmith mix with a 45% silver alloy to produce 200 grams of a 50% alloy?
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\n" ); document.write( "Let x = amt of pure silver required to do this
\n" ); document.write( "Then
\n" ); document.write( "(200-x) = amt of 45% silver alloy required
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\n" ); document.write( "x + .45(200-x) = .50(200)
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\n" ); document.write( "x + 90 - .45x = 100
\n" ); document.write( "x - .45x = 100 - 90
\n" ); document.write( ".55x = 10
\n" ); document.write( "x = \"10%2F.55\"
\n" ); document.write( "x = 18.2 grams of pure silver
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\n" ); document.write( "Check solution: 200-18.2 = 181.8 grams of 45% silver
\n" ); document.write( "18.2 + .45(181.8) = .5(200)
\n" ); document.write( "18.2 + 81.8 = 100
\n" ); document.write( "100 = 100 \n" ); document.write( "
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