document.write( "Question 460436: Sam has 5 rings each weighing 18g, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add? \n" ); document.write( "
Algebra.Com's Answer #315818 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Sam has 5 rings each weighing 18g, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add? \n" ); document.write( ".. \n" ); document.write( "let x=grams of silver to add \n" ); document.write( "18*10%=1.8g = initial grams of silver in alloy \n" ); document.write( "18*90%=16.2g=initial grams of gold in alloy \n" ); document.write( "1.8+x=total grams of silver in new alloy \n" ); document.write( ".. \n" ); document.write( "ratio of silver to gold in new alloy=25/75=1/3=(1.8+x)/(16.2) \n" ); document.write( "3(1.8+x)=16.2 \n" ); document.write( "5.4+3x=16.2 \n" ); document.write( "3x=16.2-5.4=10.8 \n" ); document.write( "x=10.8/3=3.6 g \n" ); document.write( "ans: \n" ); document.write( "The amount of silver to add to reduce the gold content to 75%=3.6g \n" ); document.write( " |