document.write( "Question 75815: How many ounces of pure gold must be added to five ounces of something that is 1 percent gold in order that the mixture is 6 percent gold? \n" ); document.write( "

Algebra.Com's Answer #54440 by josmiceli(19441) $\"\"$ $\"About$

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What's the situation before any extra gold is added?
\n" ); document.write( "1% of 5 ounces of \"stuff\" is gold. The equation is:
\n" ); document.write( " $\".01%2A5+%2F+5+=+.01\"$
\n" ); document.write( "The numerator is how much gold is in it. The denominator is
\n" ); document.write( "total \"stuff\" including gold, so when I add x amount of new gold
\n" ); document.write( "I add it to top and bottom and make it = .06.
\n" ); document.write( " $\"%28.05+%2B+x%29+%2F+%285+%2B+x%29+=+.06\"$
\n" ); document.write( " $\".05+%2B+x+=+.3+%2B+.06x\"$
\n" ); document.write( " $\".94x+=+.25\"$
\n" ); document.write( " $\"x+=+.266\"$ answer
\n" ); document.write( "check
\n" ); document.write( " $\"%28.05+%2B+x%29+%2F+%285+%2B+x%29+=+.06\"$
\n" ); document.write( " $\"%28.05+%2B+.266%29+%2F+%285+%2B+.266%29+=+.06\"$
\n" ); document.write( " $\".316+%2F+5.266+=+.06\"$
\n" ); document.write( " $\".06+=+.06\"$
\n" ); document.write( "OK \n" ); document.write( "

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