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?
(1 point)
Responses
equation
Image with alt text: equation
equation
Image with alt text: equation
equation
Image with alt text: equation
equation
Let x be the number of student tickets sold and y be the number of adult tickets sold.
From the given information, we can create the following system of equations:
1) x + y = 700 (total number of tickets sold)
2) 2x + 4.50y = 1200 (total revenue from ticket sales)
Therefore, the correct system of equations is:
x + y = 700
2x + 4.50y = 1200
The correct system of equations can be:
x + y = 700
2x + 4.50y = 1200
The system of equations that can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold, is:
x + y = 700 (equation 1) - This equation represents the total number of tickets sold, which is 700.
2x + 4.50y = 1200 (equation 2) - This equation represents the total amount of money collected, which is $1200. Since student tickets cost $2 each and adult tickets cost $4.50 each, we multiply the number of student tickets (x) by $2 and the number of adult tickets (y) by $4.50, and then add them together to equal $1200.
Therefore, the correct answer is:
equation
Image with alt text: equation
How many solutions does the following system have?
{2x+3y=1}
{-3x-2y=-1}
(1 point)
Responses
infinitely many solutions
infinitely many solutions
two solutions
two solutions
one solution
one solution
no solutions
This system of equations has one solution.
Which linear system of equations does the matrix represent?
[-3 5 | 15]
[ 2 3 |-10]
The linear system of equations that the matrix represents is:
-3x + 5y = 15
2x + 3y = -10