We can start by translating the given information into equations:
Let x be the number of student tickets sold.
Let y be the number of adult tickets sold.
From the problem, we know that the total number of tickets sold is 700:
x + y = 700.....(equation 1)
We also know that the total revenue from tickets sold is $1,200.
The revenue from student tickets is $2.00 multiplied by the number of student tickets sold, which is 2x.
The revenue from adult tickets is $4.50 multiplied by the number of adult tickets sold, which is 4.50y.
So, the total revenue equation is:
2x + 4.50y = 1200.....(equation 2)
Hence, 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
2x + 4.50y = 1200
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 answer