Question

Tickets for admission to a high school track meet costs $3 for students and $5 for adults. During one game, $4,128 was collected from a sale of 954 tickets. Write a linear system to model the situation, be sure to define your variables.

A) Let S represent the number of student tickets and A represent the number of adult tickets. The system is:
S + A = 954
3S + 5A = 4128

B) Let X represent the number of student tickets and Y represent the number of adult tickets. The system is:
X + Y = 4128
3X + 5Y = 954

C) Let T represent the total number of tickets sold. The system is:
T = 954
3T + 5T = 4128

D) Let C represent the total cost of tickets sold. The system is:
C = 954
3C + 5C = 4128

Answer 1

The correct linear system to model the situation is: S + A = 954 and 3S + 5A = 4128.

Step-by-step explanation:

The correct linear system to model the situation is:

A) Let S represent the number of student tickets and A represent the number of adult tickets. The system is:

S + A = 954

3S + 5A = 4128

The first equation represents the total number of tickets sold, where the sum of student and adult tickets is equal to 954. The second equation represents the total revenue collected from the ticket sales, where the product of the number of student tickets and the cost per student ticket (3) plus the product of the number of adult tickets and the cost per adult ticket (5) is equal to 4128.