document.write( "Question 446170: professor collins has 3 times as many students inher math class as professor delorey. professor bench has twice the number of studentsin her math class as professor delorey. the total number of students of all three professors is 192. how many students does each professor have? \n" ); document.write( "

Algebra.Com's Answer #307239 by josmiceli(19441) $\"\"$ $\"About$

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given:
\n" ); document.write( " $\"+c+=+3d+\"$
\n" ); document.write( " $\"+b+=+2d+\"$
\n" ); document.write( " $\"+b+%2B+c+%2B+d+=+192+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+2d+%2B+3d+%2B+d+=+192+\"$
\n" ); document.write( " $\"+6d+=+192+\"$
\n" ); document.write( " $\"+d+=+32+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"c++=+3d\"$
\n" ); document.write( " $\"+c+=+3%2A32+\"$
\n" ); document.write( " $\"+c+=+96+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b+=+2d+\"$
\n" ); document.write( " $\"+b+=+2%2A32+\"$
\n" ); document.write( " $\"+b+=+64+\"$
\n" ); document.write( "Bench has 64, Collins has 96, Delorey has 32
\n" ); document.write( "check:
\n" ); document.write( " $\"+b+%2B+c+%2B+d+=+192+\"$
\n" ); document.write( " $\"+64+%2B+96+%2B+32+=+192+\"$
\n" ); document.write( " $\"+192+=+192+\"$
\n" ); document.write( " \n" ); document.write( "

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