document.write( "Question 352116: One Hundred Percent Pure Gold is 24-Karat, which is too soft to be made into jewelry. Most Gold jewely is 14-karat gold, approximately 58% gold. If 18-Karat gold is 75% gold and 12 Karat Gold is 50%, how much of each should be used to make a 14-Karat gold bracelet weighing 450 grams? \n" ); document.write( "
Algebra.Com's Answer #251613 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
One Hundred Percent Pure Gold is 24-Karat, which is too soft to be made into jewelry. Most Gold jewely is 14-karat gold, approximately 58% gold. If 18-Karat gold is 75% gold and 12 Karat Gold is 50%, how much of each should be used to make a 14-Karat gold bracelet weighing 450 grams?
\n" ); document.write( "--------------
\n" ); document.write( "Equation:
\n" ); document.write( "gold + gold = gold
\n" ); document.write( "0.75x + 0.50(450-x) = 0.58*450
\n" ); document.write( "---
\n" ); document.write( "Multiply thru by 100 to get:
\n" ); document.write( "75x + 50*450 -50x = 58*450
\n" ); document.write( "25x = 8*450
\n" ); document.write( "x = 8*18
\n" ); document.write( "---
\n" ); document.write( "x = 144 grams (amt. of 18-K gold needed in the mixture)
\n" ); document.write( "--
\n" ); document.write( "450-x = 306 grams (amt of 12-K gold needed in the mixture)
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );