A movie theatre is filled to 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?

(170;120;60).

Step-by-step explanation:

We know that:

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:

Solving y's and Isolating x :

Now, we need a expression for costs. We have:

Replacing the x and z equation:

Now, we solve for y:

But, we know that adults are half as many students, so:

Lastly,

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

Step-by-step explanation:

the answer for this is 0.25 km. : )