document.write( "Question 344455: A silversmith has two alloys, one containing 35% silver and the other 66% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 45% silver? \n" ); document.write( "
Algebra.Com's Answer #246413 by Fombitz(32388)\"\" \"About 
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Let A be the amount of 35% silver alloy, B the amount of 66% silver alloy.
\n" ); document.write( "Total weight equation:
\n" ); document.write( "1.\"A%2BB=100\"
\n" ); document.write( "Total silver concentration equation:
\n" ); document.write( "\"35A%2B66B=45%28100%29\"
\n" ); document.write( "2.\"35A%2B66B=4500\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"A=100-B\"
\n" ); document.write( "Substitute in eq. 2,
\n" ); document.write( "\"35%28100-B%29%2B66B=4500\"
\n" ); document.write( "\"3500-35B%2B66B=4500\"
\n" ); document.write( "\"31B=1000\"
\n" ); document.write( "\"highlight%28B=1000%2F31%29\"grams
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\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"A%2B1000%2F31=100\"
\n" ); document.write( "\"A=3100%2F31-1000%2F31\"
\n" ); document.write( "\"highlight%28A=2100%2F31%29\"grams
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