The manager of a movie theater found that Saturday's sales were $3675. He knew that a total of 650 tickets were sold Saturday. Adult tickets cost $7.50, and children s tickets cost $4.50. How many of each kind of ticket were sold?

Let no of adult ticket be x and kid ticket be y.

Then,

Total ticket sold, x+y=650 …(1)

Total cost, 7.50x+4.50 y=3675 ….(2)

From 1 we have x=650-y

Putting it in (2)

7.50(650-y)+4.50y=3675

y=400

And, x=250

So no of adult ticket=250

Kid ticket=400

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