document.write( "Question 1133067: A jeweler has five rings, each weighing 18grams, 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 60%. How much silver should he add? \n" ); document.write( "
Algebra.Com's Answer #750234 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 90 grams total with 9gm (10%) pure silver and 81gm (90%) pure gold. After adding more silver, it will be 40% \n" ); document.write( "so (9+x)/(90+x)=2/5, which is 40% \n" ); document.write( "cross-multiply \n" ); document.write( "5(9+x)+2(90+x) \n" ); document.write( "45+5x=180+2x \n" ); document.write( "3x=135 \n" ); document.write( "x=45gm silver ANSWER \n" ); document.write( "the total amount of metal will be 135 gm, and now 54 of that (9+45) will be silver. \n" ); document.write( "therefore, 81gm of the 135 will be gold and that is 60%. \n" ); document.write( " \n" ); document.write( " |