document.write( "Question 393357: A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold?
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Algebra.Com's Answer #279169 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A goldsmith has two alloys of gold, the first being 70% pure and the second being 60% pure. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold? \n" ); document.write( "------------ \n" ); document.write( "Equation: \n" ); document.write( "gold + gold = gold \n" ); document.write( "0.70x + 0.60(100-x) = 0.66*100 \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "70x + 60*100 - 60x = 66*100 \n" ); document.write( "10x = 6*100 \n" ); document.write( "x = 60 oz (amt. of 70% alloy needed in the mix) \n" ); document.write( "--- \n" ); document.write( "100-x = 40 oz (amt of 60% alloy needed in the mix) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |