document.write( "Question 1005718: Ellen worked 12 more overtime hours than Andrew one week. If Ellen worked 8 overtime hours for every 5 overtime hours that Andrew worked, for how many hours of overtime did each person work? Round your answer to the nearest tenth of an hour if necessary. \n" ); document.write( "

Algebra.Com's Answer #621918 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = overtime hrs that Andrew worked
\n" ); document.write( " $\"+x+%2B+12+\"$ = overtime hrs that Ellen worked
\n" ); document.write( "-------------------------------------
\n" ); document.write( " $\"+%28+x+%2B+12+%29+%2F+x+=+8%2F5+\"$
\n" ); document.write( " $\"+5%2A%28+x+%2B+12+%29+=+8x+\"$
\n" ); document.write( " $\"+5x+%2B+60+=+8x+\"$
\n" ); document.write( " $\"+3x+=+60+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+%2B+12+=+20+%2B+12+\"$
\n" ); document.write( " $\"+x+%2B+12+=+32+\"$
\n" ); document.write( "Ellen worked 32 hrs overtime
\n" ); document.write( "Andrew worked 20 hrs overtime
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+%2B+12+%29+%2F+x+=+8%2F5+\"$
\n" ); document.write( " $\"+32+%2F+20+=+8%2F5+\"$
\n" ); document.write( " $\"+%28+8%2A4+%29+%2F+%28+5%2A4+%29+=+8%2F5+\"$
\n" ); document.write( " $\"+8%2F5+=+8%2F5+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );