SOLUTION: The larger auditorium in a school seats twice as many people as the smaller auditorium. If 100 new seats are installed in the larger auditorium in order to increase its capacity b

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Question 919370: The larger auditorium in a school seats twice as many people as the smaller auditorium. If 100 new seats are installed in the larger auditorium in order to increase its capacity by 10%, what is the total seating capacity for the two auditoriums?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
S the seats in the Larger originally
%28S%2B100%29%2FS+=+1.10 | Cross Multiplying to solve
1.10S = S + 100
1.10S - 1S = 100
S = 100/.10 = 1000 seats in the Larger originally. Smaller 500 seats.
Now: 1100 + 500 = 1600 total seating capacity