Question

"Which system of equations below could be used to determine the number of adult tickets sold (a) and the number of student tickets sold (s)?

a) 3.50a + 2.00s = 4,650
a + s = 1,650
b) 350a + 200s = 4,650
a + s = 1,650
c) 3.50a + 2.00s = 1,650
a + s = 4,650
d) 350a + 200s = 1,650
a + s = 4,650"

Answer 1

The correct system of equations to determine the number of adult and student tickets sold, given the total sales and the total number of tickets, is 3.50a + 2.00s = 4,650 for total revenue and a + s = 1,650 for the total number of tickets.

Step-by-step explanation:

The system of equations used to determine the number of adult tickets (a) and the number of student tickets (s) should properly represent the total sale and the total number of tickets sold using a relationship between the number of tickets and their respective prices. These equations are typically linear, similar to those seen in Practice Test 4 Solutions 12.1 Linear Equations. In this case, since the total sales amount to $4,650 and the total number of tickets sold is 1,650, and knowing that the price of an adult ticket is $3.50 and a student ticket is $2.00, we can form a system of equations.

The correct system is: 3.50a + 2.00s = 4,650 for the total revenue and a + s = 1,650 for the total number of tickets.

Hence, the correct answer is option a):
3.50a + 2.00s = 4,650
a + s = 1,650