document.write( "Question 1028646: At a metal melting factory, a machinist melts two barrels of metal and mixes them together. The one barrel contained metal that was 40% copper while the other barrel contained metal that was 80% copper. The result was 120 pounds of metal that was 48% copper. How many pounds of metal were in the barrel that contained the 80% copper? \n" ); document.write( "

Algebra.Com's Answer #643734 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ =pounds of metal in the 80% copper barrel
\n" ); document.write( " $\"+120+-+x+\"$ = pounds of metal in the 40% copper barrel
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+%28+.8x+%2B+.4%2A%28+120+-+x+%29%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+%28+.8x+%2B+48+-+.4x+%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+.4x+%2B+48+=+.48%2A120+\"$
\n" ); document.write( " $\"+.4x+=+57.6+-+48+\"$
\n" ); document.write( " $\"+.4x+=+9.6+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( "------------
\n" ); document.write( "24 pounds of metal were in the barrel
\n" ); document.write( "that contained the 80% copper
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.8x+%2B+.4%2A%28+120+-+x+%29%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+%28+.8%2A24+%2B+.4%2A%28+120+-+24+%29%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+%28+19.2+%2B+.4%2A96+%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+%28+19.2+%2B+38.4+%29+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+57.6+%2F+120+=+.48+\"$
\n" ); document.write( " $\"+57.6+=+57.6+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );