SOLUTION: There are 26 times as many students in Lincoln High School as teachers. When all the teachers and students are seated in the 900-seat school auditorium, only 9 seats are unoccuped.

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Question 546125: There are 26 times as many students in Lincoln High School as teachers. When all the teachers and students are seated in the 900-seat school auditorium, only 9 seats are unoccuped. How many students are at Lincoln High?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
the number of people seated is
+900+-+9+=+891+
Let +s+ = number of students at Lincoln High
Let +t+ = number of teachers at Lincoln High
given:
(1) +s+=+26t+
(2) +s+%2B+t+=+891+
Substitute (1) into (2)
(2) +26t+%2B+t+=+891+
(2) +27t+=+891+
(2) +t+=+33+
and, since
(1) +s+=+26t+
(1) +s+=+26%2A33+
(1) +s+=+858+
There are 858 students at Lincoln High