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:

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.