document.write( "Question 534019: A silversmith has two alloys, one containing 70% silver and the other 30% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 54% silver? \n" ); document.write( "
Algebra.Com's Answer #351230 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A silversmith has two alloys, one containing 70% silver and the other 30% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 54% silver? \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "silver + silver = silver \n" ); document.write( "0.70x + 0.30*(100-x) = 0.54*100 \n" ); document.write( "---- \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "70x + 30*100 - 30x = 54*100 \n" ); document.write( "40x = 14*100 \n" ); document.write( "x = 35 grams(amt. of 70% alloy needed) \n" ); document.write( "---- \n" ); document.write( "100-35 = 65 grams (amt. of 30% alloy needed) \n" ); document.write( "--- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========= \n" ); document.write( " |