SOLUTION: 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 to

Algebra ->  Test -> SOLUTION: 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 to      Log On


   



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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
+c+=+3d+
+b+=+2d+
+b+%2B+c+%2B+d+=+192+
By substitution:
+2d+%2B+3d+%2B+d+=+192+
+6d+=+192+
+d+=+32+
and
c++=+3d
+c+=+3%2A32+
+c+=+96+
and
b+=+2d+
+b+=+2%2A32+
+b+=+64+
Bench has 64, Collins has 96, Delorey has 32
check:
+b+%2B+c+%2B+d+=+192+
+64+%2B+96+%2B+32+=+192+
+192+=+192+