document.write( "Question 1130102: Brooke worked 9 more overtime hours than Derrick one week. If Brooke worked 12 overtime hours for every 5 overtime hours that Derrick 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 #746756 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = Brooke's OT hrs
\n" ); document.write( "Let $\"+d+\"$ = Derrick's OT hrs
\n" ); document.write( "-----------------------------------
\n" ); document.write( " $\"+b+=+d+%2B+9+\"$
\n" ); document.write( " $\"+b%2Fd+=+12%2F5+\"$
\n" ); document.write( " $\"+5b+=+12d+\"$
\n" ); document.write( "and, by substitution:
\n" ); document.write( " $\"+5%2A%28+d+%2B+9+%29+=+12d+\"$
\n" ); document.write( " $\"+5d+%2B+45+=+12d+\"$
\n" ); document.write( " $\"+7d+=+45+\"$
\n" ); document.write( " $\"+d+=+6.4286+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+b+=+6.4286+%2B+9+\"$
\n" ); document.write( " $\"+b+=+15.4286+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "Derrick worked 6.4 hrs OT
\n" ); document.write( "Brooke worked 15.4 hrs OT
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+b%2Fd+=+12%2F5+\"$
\n" ); document.write( " $\"+15.4286%2F6.4286+=+12%2F5+\"$
\n" ); document.write( " $\"+2.39999+=+2.4+\"$
\n" ); document.write( "OK \n" ); document.write( "

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