document.write( "Question 993621: A jeweler has 5 rings, each weighing 18 grams, made of an alloy of 18% silver and 90% gold. She decides to melt down the rings and added enough silver to reduce the gold content to 75%. How much silver should she add? \n" ); document.write( "
Algebra.Com's Answer #612840 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A jeweler has 5 rings, each weighing 18 grams, made of an alloy of 18% silver and 90% gold. She decides to melt down the rings and added enough silver to reduce the gold content to 75%. How much silver should she add? \n" ); document.write( "------- \n" ); document.write( "Weight of rings:: 90 grams \n" ); document.write( "If the result is 75% gold, it must be 25% silver. \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "silver + silver = silver \n" ); document.write( "18%(weight) silver + 100%(weight) silver = 25%(weight) silver \n" ); document.write( "----------------------------------------- \n" ); document.write( "0.18*90 + 1*x = 0.25(90+x) \n" ); document.write( "Multiply thru by 100 to get:: \n" ); document.write( "--- \n" ); document.write( "18*90 + 100x = 25*90 + 25x \n" ); document.write( "Solve for \"x\", which is the amt. of 100% silver you add \n" ); document.write( "---- \n" ); document.write( "100x-25x = 25*90-18*90 \n" ); document.write( "------ \n" ); document.write( "75x = 7*90 \n" ); document.write( "x = (19/15)*7 \n" ); document.write( "x = 8.8667 grams (amt. of 100% silver to add) \n" ); document.write( "-------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---- \n" ); document.write( " |