document.write( "Question 275301: A goldsmith has 2 alloys that are different purities of gold.
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document.write( "the first is three-fourths pure gold and the second is five-twelfths pure gold. how many ounces of each should be melted and mixed in order to obtain a 6 oz. mixture that is two-thirds pure gold?
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Algebra.Com's Answer #200810 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A goldsmith has 2 alloys that are different purities of gold. \n" ); document.write( "the first is three-fourths pure gold and the second is five-twelfths pure gold. how many ounces of each should be melted and mixed in order to obtain a 6 oz. mixture that is two-thirds pure gold? \n" ); document.write( "---------------------------- \n" ); document.write( "Equation: \n" ); document.write( "gold + golf = gold \n" ); document.write( "(3/4)x + (5/12)(6-x) = (2/3)6 \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 12 to get: \n" ); document.write( "9x + 5*6 - 5x = 8*6 \n" ); document.write( "4x = 3*6 \n" ); document.write( "x = 9/2 = 4.5 oz (amt of 3/4th pure gold needed for the mixture) \n" ); document.write( "-------------------- \n" ); document.write( "6-4.5 = 1.5 oz (amt of 5/12th pure gold needed for the mixture\r \n" ); document.write( "\n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |