A theater has tickets at six dollars for adults three for students and two for children under 12 years old a total of 280 tickets were sold for one showing with total revenue $910 if the number of adult tickets plus the number of student tickets was equal to the number of child tickets how many of each type of ticket were sold for the showing

140 child tickets, 70 student tickets and 70 adult tickets were sold.

Step-by-step explanation:

Since a theater has tickets at six dollars for adults, three for students and two for children under 12 years old, ya total of 280 tickets were sold for one showing with a total revenue $ 910, if the number of adult tickets plus the number of student tickets was equal to the number of child tickets, to determine how many of each type of ticket were sold for the showing, the following calculation must be performed:

A + S = C

1/2 = 1/2

280/2 = C

140 = C

910 - (140 x 2) = A + S

910 - 280 = A + S

630 = A + S

70 x 6 + 70 x 3 = 630

Therefore, 140 child tickets, 70 student tickets and 70 adult tickets were sold.

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