document.write( "Question 764073: A silversmith combined pure silver that cost $17.80 per ounce with 50 oz of silver alloy that cost $8.50 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $15.30 per ounce? \n" ); document.write( "

Algebra.Com's Answer #465195 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = ounces of pure silver needed
\n" ); document.write( " $\"+17.8x+\"$ = cost in dollars of pure silver
\n" ); document.write( " $\"+8.5%2A50+=+425+\"$ = cost in dollars of 50 oz of silver alloy
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+%28+17.8x+%2B+425+%29+%2F+%28+x+%2B+50+%29+=+15.3+\"$
\n" ); document.write( " $\"+17.8x+%2B+425+=+15.3%2A%28+x+%2B+50+%29+\"$
\n" ); document.write( " $\"+17.8x+%2B+425+=+15.3x+%2B+765+\"$
\n" ); document.write( " $\"+2.5x+=+340+\"$
\n" ); document.write( " $\"+x+=+136+\"$
\n" ); document.write( "136 ounces of pure silver are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+17.8x+%2B+425+%29+%2F+%28+x+%2B+50+%29+=+15.3+\"$
\n" ); document.write( " $\"+%28+17.8%2A136+%2B+425+%29+%2F+%28+136+%2B+50+%29+=+15.3+\"$
\n" ); document.write( " $\"++2845.8+%2F+186+=+15.3+\"$
\n" ); document.write( " $\"+2845.8+=+15.3%2A186+\"$
\n" ); document.write( " $\"+2845.8+=+2845.8+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );