document.write( "Question 189947: I see similar questions, but not quite the same and am having problems:\r
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document.write( "How many ounces of a 30% gold solution must be mixed with 60 ounces of a 15% solution to obtain a solution that is 20% gold?\r
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document.write( "The teacher released the answer as 30oz. of the 10% solution....not sure how to get there \n" );
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Algebra.Com's Answer #142519 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x=amount of 30% solution needed\r \n" ); document.write( "\n" ); document.write( "Amount of pure gold before the mixture(0.30x+0.15*60) has to equal the amount of pure gold after the mixture (0.20(60+x)), so\r \n" ); document.write( "\n" ); document.write( "0.30x+0.15*60=0.20(60+x) get rid of parens and simplify \n" ); document.write( "0.30x+9=12+0.20x subtract 9 and also 0.20x feom each side \n" ); document.write( "0.30x-0.20x+9-9=0.20x-0.20x+12-9 \n" ); document.write( "0.10x=3 divide each side by 0.10 \n" ); document.write( "x=30 oz-------------------amount of 30% solution needed\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "0.30*30+0.15*60=0.20*90 \n" ); document.write( "9+9=18 \n" ); document.write( "18=18\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |