The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One. Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.

Each adult and child ticket has a different price value.
Felicia’s mom bought a total of 20 tickets for the family.
Each child ticket costs $5.25 and each adult ticket costs $7.75.
Felicia’s mom spent a total of $140 on all of the tickets.

Part A: Create a system of equations, based on the above ticket facts, to help find out how many adults, a, and how many children, c, went to see the movie Rogue One.

Part B: Solve the system of equations, by justifying your work.

Part C: What is the significance of your solution to the system of equations? Also, prove that your answer makes sense in the system of equations.

The linear equations are x + y = 20 and 5.25x + 7.75y = 140. Then the number of child tickets is 6 and the number of adult tickets is 14.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One.

Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.

Each adult and child ticket has a different price value.

Felicia’s mom bought a total of 20 tickets for the family.

Each child ticket costs $5.25 and each adult ticket costs $7.75.

Felicia’s mom spent a total of $140 on all of the tickets.

Let c be the number of child tickets and a be the number of adult tickets. Then we have

c + a = 20 ...1

5.25c + 7.75a = 140 ...2

By solving the equations 1 and 2, we have

c = 6 and a = 14

The number of child tickets is 6 and the number of adult tickets is 14.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1