Amovie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. an adult ticket costs as much as the combined cost of a student ticket and a child ticket. you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23.
what are 3 system of equations?
what is the price per ticket for each type of ticket?

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Step-by-step explanation:

Let

x -----> the price per ticket for adults

y -----> the price per ticket for students

z -----> the price per ticket for child between the ages of 3 and 8

we know that

The system of equations is

------> equation A

------> equation B

-----> equation C

substitute equation B in equation A and solve for x

Substitute the value of x in equation B and equation C

-----> equation B

-----> equation C

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (1,4)

so

z=1, y=4

therefore

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

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step-by-step explanation:

they used 313 gallons of paint