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In the end, there were 800 adults and 800 children.

If there were 3u adults in the beginning, there were 2u children in the beginning since there were 1/3 more adults than children in the beginning.

For every 6 persons entering the stadium, 4 were children and 2 were adults. 

There were (800 – 3u) latecoming adults  , and (800 – 2u) latecoming children.

(800 – 3u)/(800 – 2u) = 2/4 = 1/2           

1600 – 6u = 800 – 2u

4u = 800

u = 200

3u = 600

There were 600 adults in the stadium at first. 

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