SOLUTION: An auditorium is 1/2 full. After 25 people in the audience left, the auditorium is 3/8 full. What is the seating capacity of the hall?

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Question 1086878: An auditorium is 1/2 full. After 25 people in the audience left, the auditorium is 3/8 full. What is the seating capacity of the hall?
Answer by math_helper(2461) About Me  (Show Source):
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+1%2F2+-+3%2F8+=+4%2F8+-+3%2F8+=+1%2F8+
25 people represents 1/8 of the capacity, C.
(1/8)C = 25 —> Seating capacity is +highlight_green%28+C+=+200+%29+ people.
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Check: (1/2)(200) = 100 people initially in auditorium
25 people leave —> 75 people remain
75/200 = 3/8 (ok)