document.write( "Question 997356: How much pure gold (24 karat) must be mixed with 60% gold to get 20 grams of 75% pure gold? I'm not necessarily asking for the answer but how to set up the equation to solve for it. \n" ); document.write( "

Algebra.Com's Answer #615479 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = grams of pure gold needed
\n" ); document.write( "Let $\"+b+\"$ = grams of 60% gold needed
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+20+\"$
\n" ); document.write( "(2) $\"+%28+a+%2B+.6b+%29+%2F+20+=+.75+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "There are 2 equations and 2 unknowns,
\n" ); document.write( "so it's solvable \n" ); document.write( "

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