Amovie theater is filled to its capacity of 350. the theater charges $4.50 for children, $7.50 for students, and $12.50 for adults. there are half as many adults as there are students. if the total ticket sales was $2415, how many children, students, and adults attended. write your answer as an ordered triple in the form (# of children, # of students, # of adults). for example, (1,2,3).

Step-by-step explanation:

Capacity of the theater: 350 people.

Adults is half the students.

Children's cost: $4.50

Student's cost: $7.50

Adults' cost: $12.50

Total Sales: $2415

We are gonna call x the children, y the students and z the adults:

So, the equation to express the capacity of the theater would be:

But, (adults are have students)

So, the expression would be:

Therefore, there are 170 children, 120 students and 60 adults. Expressing the results as an ordered triple would be (170;120;60)

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step-by-step explanation:

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