Question

Amy, Jane, and Kayla bought tickets to a movie. Amy bought 2 adult tickets and 4 children tickets for $35. 50. Jane bought 3 adult tickets and 3 children tickets for $36. 0. How much will Kayla pay for 5 adult tickets and 4 children tickets?

Answer 1

Using a system of equations, it is found that Kayla will pay $54.25 for 5 adult tickets and 4 children tickets.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

• Variable x: Cost of an adult ticket.

• Variable y: Cost of a children ticket.

Amy bought 2 adult tickets and 4 children tickets for $35.50, hence:

2x + 4y = 35.50

x + 2y = 17.75

x = 17.75 - 2y

Jane bought 3 adult tickets and 3 children tickets for $36.0, hence:

3x + 3y = 36

x + y = 12

From the first equation:

17.75 - 2y + y = 12

y = 5.75.

x = 17.75 - 2 x 5.75 = 6.25.

Hence the total paid for Kayla is given by:

T = 5 x 6.25 + 4 x 5.75 = $54.25.

More can be learned about a system of equations at https://brainly.com/question/24342899