The sophomore class sold a total of 700 adult and student tickets to the school play. Adult tickets sold for $4.50 each, and student tickets cost $2.00 each. If they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: equation%0D%0A%0D%0A%0D%0AImage with alt text: equation%0D%0A%0D%0A%0D%0AImage with alt text: equation
Let x represent the number of student tickets sold and y represent the number of adult tickets sold.
Based on the given information, the system of equations would be:
x + y = 700 (equation 1) - representing the total number of tickets sold
2x + 4.50y = 1200 (equation 2) - representing the total revenue generated
Therefore, the system of equations to find x and y would be:
x + y = 700
2x + 4.50y = 1200
Let's set up the equations based on the given information.
Let x represent the number of student tickets sold and y represent the number of adult tickets sold.
Equation 1: x + y = 700
This equation represents the total number of tickets sold, which is the sum of student tickets (x) and adult tickets (y).
Equation 2: 2x + 4.50y = 1200
This equation represents the total revenue generated from ticket sales. The student tickets (x) cost $2.00 each, and the adult tickets (y) cost $4.50 each. The total revenue is $1,200.
Therefore, the system of equations can be written as:
x + y = 700,
2x + 4.50y = 1200.
To find the system of equations that can be used to solve this problem, we can start by defining the variables:
Let x be the number of student tickets sold.
Let y be the number of adult tickets sold.
From the problem, we know the following information:
1) The total number of tickets sold is 700, so we can write the first equation as:
x + y = 700
2) The total revenue from ticket sales is $1,200, so we can write the second equation as:
2x + 4.50y = 1,200
Therefore, the system of equations that can be used to find x and y is:
Equation 1: x + y = 700
Equation 2: 2x + 4.50y = 1,200