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?

7.5a+4.5c=3675 ; a+c=650. By eq. 2, a=650-c . Thus by eq. 1, 7.5(650-c)+4.5c=3675. 4875-3c=3675; 3c=1200; c=400. Thus a=250.

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