Question

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50. Set up a system of equations?

A) 15x + 5.5y = 239
B) 15x + 5.5y = 2758.50
C) 15x + 5.5y = 0
D) 15x - 5.5y = 239"

Answer 1

The system of equations for the Travis Scott concert scenario consists of two equations: 'x + y = 239' to represent the total number of people and '15x + 5.5y = 2758.50' to represent the total admission revenue.

Step-by-step explanation:

To solve the Travis Scott concert problem, we need to set up a system of equations with two variables: the number of adults (x) and the number of children (y) who attended the concert. There are two pieces of information we must use to create our equations:

1. The total number of people at the concert.
2. The total cost of admission for all attendees.

From the first piece of information, we can write the following equation that represents the total number of people:

x + y = 239

From the second piece of information, we can write the following equation that represents the total amount of money made from ticket sales:

15x + 5.5y = 2758.50

The correct system of equations that represents this situation is:

A) x + y = 239

B) 15x + 5.5y = 2758.50

Option C and D do not represent this scenario based on the given information, making them incorrect.